Question

13. Write a rule for the nth term of the arithmetic sequence. -10, -4, 2, 8,

Answer 1

Answer:

$a_n = 6n - 16$

Step-by-step explanation:

$a_1 = -10$

$a_2 = -10 + 6$

$a_3 = -10 + 6 + 6 = -10 + 2 \times 6$

$a_4 = -10 + 6 + 6 + 6 = -10 + 3 \times 6$

$a_n = -10 + (n - 1)6$

$a_n = -10 + 6n - 6$

$a_n = 6n - 16$

Answer 2

The nth term of the arithmetic sequence is $\rm a_n=6n-16$.

What is the arithmetic sequence?

An arithmetic sequence is a list of numbers with a definite pattern.

The nth term of the arithmetic sequence. -10, -4, 2, 8.

The common difference between the terms is;

$\rm d=-4-(-10), \ 2 - (-4), \ 8-2\\\\d= 6, 6, 6$

The nth term of the arithmetic sequence is;

$\rm a_n=a_1+(n-1)d\\\\a_n=-10+(n-1)6\\\\a_n=-10+6n -6\\\\a_n=6n-16$

Hence, the nth term of the arithmetic sequence is $\rm a_n=6n-16$.

Learn more about arithmetric sequence here;

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