1. Determines the first 4 terms of arithmetic succession with d = -3 y a1 = 7 is:

Answered: 1. Determines the first 4 terms of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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1. Determines the first 4 terms of arithmetic succession with d = -3 y a1 = 7 is:

Expert Solution

Step 1

Arithmetic Sequence:

A Sequence is said to be arithmetic if the difference between any two consecutive terms is a constant and that difference is called as common difference (d).

The general term of an A.P is $a_{n} = a + (n - 1) d$ where a is the first term and d is the common difference.

The common difference is given as d=-3 and the first term is a₁ =7.

Evaluate the second term as follows.

$a_{n} = a_{1} + (n - 1) d a_{2} = 7 + (2 - 1) (- 3) a_{2} = 7 - 3 a_{2} = 4$

Thus, the second term is 4.

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