Question

Find a₁0 given that a7 = 6 and d = 3 in the arithmetic sequence.

Answer 1

The tenth term of the arithmetic sequence will be 15. Then the correct option is A.

What is the arithmetic sequence?

Let a₁ be the first term and d is the common difference between the terms. Then the nth term will be given as

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

We have

a₇ = 6

d = 3

n = 7

Then the first term will be

a₇ = a₁ + (7 – 1)3

6 = a₁ + 18

a₁ = 6 – 18

a₁ = -12

Then the 10th term will be

a₁ = -12

d = 3

n =10

Then we have

a₁₀ = -12 + (10 – 1)3

a₁₀ = -12 + 27

a₁₀ = 15

Then the tenth term of the arithmetic sequence will be 15.

Then the correct option is A.

More about the arithmetic sequence link is given below.

brainly.com/question/15412619

#SPJ1