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umka2103 [35]
1 year ago
5

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

Mathematics
1 answer:
yan [13]1 year ago
8 0
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

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