Question

2 Given: a = a + d(n - 1) What is the 10th term of the arithmetic sequence if a, = 16 and d = -3? A-11 B -14 C 48 D -15

Answer 1

Arithmetic sequence

Given

$a_n=a_1+d\mleft(n-1\mright)$

where

a₁ = 16 and d = -3

We want to find the 10th term of the sequence, this means: we want to find a₁₀.

Since aₙ, for a₁₀ n = 10. Then we replace in the equation:

a₁ = 16, d = -3 and n = 10.

$\begin{gathered} a_n=a_1+d\mleft(n-1\mright) \\ \downarrow \\ a_{10}=16-3(10-1) \\ a_{10}=16-3\cdot9=16-27 \\ a_{10}=-11 \end{gathered}$

Answer: A. -11