Consider the sequence $b_1$ , $b_2$ , $b_3$ , ...., $b_n$ defined by $b_n = 7 + b_{n – 1}$ for every integer n ≥ 2. Given that $b_1 = 15$ , what is the value of $b_{40}$ ?

Correct answer marked below

287

288

Correct

289

290

291

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Explanation

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Official Explanation

Official

We start with

b_1 = 15

and the common difference

d = 7

. The formula for the nth term is [m]b_n =…

Comments

PeeyushDec 29, 2024

Great

IoleOct 1, 2024

thankss

What this question tests

Your ability to spot and extend arithmetic and geometric sequences and work with recursive definitions.

Off-by-one errors in indexing (a₀ vs a₁) or confusing an arithmetic difference with a geometric ratio.