SEQUENCE AND SERIES PROBLEM SOLUTION

In mathematics, a sequence is a list of objects (or events) that have been ordered in a sequential fashion; such that each member either comes before or after, every other member. … A series is a sum of a sequence of terms. That is, a series is a list of numbers with addition operations between them.

What is the difference between a sequence and a series? The list of numbers written in a definite order is called a sequence. The sum of terms of an infinite sequence is called an infinite series. … Therefore sequence is an ordered list of numbers and series is the sum of a list of numbers.
Note: That there must be a definite rule. A rule that works in a given sequence may not work in another.
EXAMPLES

The nth term of sequence is given by 1/4(n + 1) (2n – 1) find the first four terms

SOLUTION

first term

1/4 (1 + 1) (2 x 1 – 1)

1/4 (1 + 1) (2 – 1)

1/4 (2) (1)

1/4 x 2 =1/2

second term

1/4 (2 + 1) (2 x 2 – 1)

1/4 (2 + 1) (4 – 2)

1/4 (3) (3)

1/4 x 9 = 9/4

third term

1/4 (3 + 1) (2 x 3 – 1)

1/4 (3 + 1) (6 – 1)

1/4 (4) (5)

1/4 x 20 = 5

fouth term

1/4 (4 + 1) (2 x 8 – 1)

1/4 (4 + 1) (8 – 1)

1/4 (5) (7)

1/4 (35) = 35/4

Therefore 1/2, 9/4, 5, 35/4 are the the first 4 terms

 

2. A sequence is given by Tn =n(n – 1). if Tn = 72, find the value of n

SOLUTION

Tn = n(n – 1)= -72

definitely turn that question into an equation been quadratic equation i.e

n^2 – n + 72 = 0

then use the Quadratic formula method or general formula method

sequence and series using quadratic formula method

sequence and series using quadratic formula method

 

your answer will be after using formula method as  x = 8 or x = -9

 

SOLVE: find the sum of the first 6 terms of 2n – 1 and drop your answer below the comment box

 

Copyright Nkedugist.
All rights reserved. This content on this website, may not be reproduced, published, broadcast, rewritten or redistributed in whole or in part without prior express written permission from NKEDUGIST.

About the author

Nkedugist

I created Nkedugist.com.ng to serve and assist all Aspirants who are seeking school information or want to apply for admission into Nigerian Tertiary Institutions such as Universities, Polytechnics or Colleges of Education with information regarding the various education system.

Leave a Comment

DMCA.com Protection Status