3 years ago

Write the rule for the nth term of each sequence a. 7,4,1, -2, ... b. -11, -3,5, 13, ...

Mathematics

1 answer:

Salsk061 [2.6K]3 years ago

4 0

Answer:

The answer for A is: - 3n+11

The answer for B is: 7n-18

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Use the initial term and the recursive formula to find an explicit formula for the sequence an. Write your answer in simplest fo

Ipatiy [6.2K]

Answer:

$a_n = -11-14n$

Step-by-step explanation:

Given

$a_1 = -25$

$a_n = a_{n-1}-14$

Required

The explicit formula

First, calculate $a_2$

Set n=2; So:

$a_2 = a_{2-1}-14$

$a_2 = a_{1}-14$

Substitute -25 for $a_1$

$a_2 = -25-14$

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$d = a_2 - a_1$

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So, the nth term is:

$a_n = a_1 + (n - 1)d$

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Open bracket

$a_n = -25-14n + 14$

Collect like terms

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