PDF- -Contribution-based Compensation and Appraisal System (CCAS - Calculator Techniques for Solving Progression Problems

tor Techniques for Solving Progression Problems

Description

Glossary

Calculator Techniques for Solving Progression Problems

Algebra www

com/PaperStore Order PDFs Papers Delivered in Minutes

This is the first round for series of posts about optimizing the use of calculator in solving math problems

The calculator techniques I am presenting here has been known to many students who are about to take the engineering board exam

- fx-570ES Plus,
- fx-115ES,
- fx-115ES Plus,
- fx-991ES,
- and fx-991ES Plus

This post will focus on progression progression

To illustrate the use of calculator,

we will have sample problems to solve

note the following calculator keys and the corresponding operation: Name

SHIFT → CALC

Logical equals

Problem: Arithmetic Progression The 6th term of an arithmetic progression is 12 and the 30th term is 180

If the nth term is 250,

- inclusive

the traditional way of solving this problem is presented here

- → common difference

- → first term
- → 52nd term
- → 40th term,
- a40 = 250 Sum of AP is given by the formula

Sum of the first 60 terms → answer Sum between 12th and 37th terms,

- inclusive
- → answer

Calculator Technique for Arithmetic Progression Bring your calculator to Linear Regression in STAT mode: MODE → 3:STAT → 2:A+BXand input the coordinates

- why A+BX
- ? The formula an = am + (n
- - m)d is linear in n

X (for n)

- calculator,

we input n at X column and an at Y column

To find the first term: AC → 1 SHIFT → 1[STAT] → 7:Reg → 5:y-caretand calculate 1y-caret,

be sure to place 1 in front of y-caret

1y-caret=

- → answer for the first term

To find the 52nd term,

and again AC → 52 SHIFT → 1[STAT] → 7:Reg → 5:y-caretand make sure you place 52 in front of y-caret

- 52y-caret= 334
- → answer for the 52nd term

AC → 250 SHIFT → 1[STAT] → 7:Reg → 4:x-caret 250x-caret= 40

- → answer for n

solve for any term adjacent to a given term,

say 7th term because the 6th term is given then do 7y-caret- 12 = 7 for d

randomly subtract any two adjacent terms like 18y-caret- 17y-caret,

! Sum of Arithmetic Progression by Calculator Bring the your calculator to Quadratic Regression in STAT mode MODE → 3:STAT → 3:_+cX2

Note that for the given AP,

- and a3 =

Input three coordinates X 1 2 3

-23-16-9

? The formula S = ½n[ 2a1 + (n

- - 1)d ] for sum of arithmetic progression is quadratic in n

In our calculator,

we input n in the X column and the sum at the Y column

use SHIFT → 1[STAT] → 7:Reg → 6:y-carettwice 37y-caret

- - 11y-caret= 3679 Another way to solve for the sum is to use the Σ calculation

- -23 and d'= 7,
- our equation for an is an =

-23 + (n

- 1)(7)

Sum of first 60 terms: (-23 + (ALPHA X

- - 1) × 7)= 11010

- - 1) × 7)= 3679

Or you may do (-23 + 7 ALPHA X)= 3679

Traditional Solution Click here to show or hide the solution

Solution by Calculator MODE → 3:STAT → 6:A·B^X

Why A·B^X

The nth term formula an = a1rn – 1 for geometric progression is exponential in form,

the variable n in the formula is the X equivalent in the calculator

Y 2 6 18

Sum of the first ten terms (MODE → 1:COMPthen SHIFT → log) Each term which is given by an = a1rn – 1

- (2(3ALPHA X
- - 1))= 59048

I hope you find this post helpful

you will get familiar with your calculator and the methods we present here

- once you grasp it,

you can easily solve basic problems in progression

- please share it to us

We will be happy to have variety of ways posted here

Tags: scientific calculatorcalculator techniqueCASIO calculatorarithmetic progression by calculatorgeometric progression by calculatorharmonic progression by calculator

Add new comment

- 8088 reads SPONSORED LINKS

► Math Calculator ► Scientific Calculator ► Algebra Calculator

► FX Calculator ► Time Clock Calculator ► Casio Calculator

Recent Updates 11

- - Area inside a circle but outside three other externally tangent circles 02
- - Time to dissipate 90% of certain radioactive substance 01
- - Find how long would it take for half amount af radium to decompose Simple Chemical Conversion 01
- - Thermometer reading after 6 minutes of being outside Newton's Law of Cooling Problem 1010 and Problem 1011 | Investigation of timber reinforced by two steel channels Problem 1009 | Width of aluminum plate reinforcement for the wood section to resist 14 kN-m moment Problem 1008 | Finding the width of steel plate reinforcement Problem 1007 | Flexural stresses developed in the wood and steel fibers Problem 1006 | Width of fastened steel plate for balanced reinforcement Problem 1005 | Maximum concentrated load at the midspan that the reinforced timber beam can carry Problem 1003 | Maximum stresses in wood and steel of composite beam Problem 1004 | Increase in moment capacity due to aluminum plate reinforcement Problem 1002 | Increase in moment capacity due to steel plate reinforcement Beams with Different Materials Chapter 10
- - Reinforced Beams Volume of pyramid cut from a sphere Amount of water inside the horizontal cylindrical tank 01
- - Circle tangent to a given line and center at another given line

PDF O'FALLON TOWNSIDP HIGH SCHOOL DISTRICT 203 O OTHS oths us cms lib Domain District 20Audit 20FY2017 pdf PDF VakıfBank's yellow illuminates the future vakifbank tr documents finansal Annual

PDF dimensionnement ResearchGate researchgate selon Charpentes metalliques Conception et dimensionnement selon les eurocodes pdf PDF master (lmd) formation c m s1+s2+s3 Faculté du Génie de la fgc ummto dz MASTER LMD FORMATION

Înlocuind expresia de calcul a debitului de fluid (relaţia 4 10) în formula de calcul hidraulic (relaţia 4 9), rezultǎ expresia generalǎ de calcul a acesteia (relaţia u) la 2,50 m sub nivelul a vier los ducă adinci meo ce funda'e nu depasesc 16 in sub fulidul albiei,

PDF Examen Final Semana 8 home Homeapi aerofit dk examen final semana 8 pdf pdf PDF Examen Final Semana 8 Calculo 2 Docx Freegit onelivemedia examen final semana 8 calculo 2 docx pdf free download pdf PDF Examen

inacap cl tportal portales tpf8f2d1e5bi181 Cálculo Aplicado al Proyecto Inglés II Sistemas de Puestas a Tierra Proyectos de Comando Eléctrico Proyectos de Instalaciones Eléctricas Controladores Lógicos Programables (PLC) Instalaciones de Corrientes Débiles Costos y Presupuesto Competencias de Empleabilidad Análisis de Circuitos Eléctricos Resistencia de Materiales Programación

PDF silabo por competencias matematica aplicada a los negocios 2017 unjfsc edu pe 11bd02e6082867379055d4eaf84c8b2de4cf159c pdf PDF Experimentando el Cálculo Diferencial Módulos del Mundo de los mwm cimav edu mx wp content TESIS Daniel Aguayo Sosa pdf PDF

ugr es Apuntes Calculo avanzado Caminos pdf Apuntes de Cálculo avanzado Ingeniería de Caminos, Canales y Puertos Jerónimo Alaminos Prats Departamento de Análisis Matemático Universidad de Granada fcfm buap mx CalculoDiferencialEnVariasVariables pdf catedras facet unt edu ar analisismii wp content

PDF guía práctica para el cálculo de capacidad de carga en biblioteca usac edu gt tesis 08 08 3004 C pdf PDF CAPACIDAD DE CARGA EN SUELOS 1 DICyG UNAMdicyg fi c unam mx ~rrc lib exe fetch php?id capcargav1