Question

Write the explicit formula for the arithmetic sequence 11, 14, 17, 20, . . . What is term number 54 in this sequence?

Answer:

Answer 1

see explanation

Explanation:

The explicit formula for an arithmetic sequence is

`a_(n)` = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 11 and d = a₂ - a₁ = 14 - 11 = 3, then

`a_(n)` = 11 + 3(n - 1) = 11 + 3n - 3 = 3n + 8

Thus

a₅₄ = 3(54) + 8 = 162 + 8 = 170

Answer 2

15 or 16. 54 is not listed.

Explanation:

pretend that 11 is 0. that means 54 is 43.

then you do 43 divided by 3 or 43/3

but looks like the number 43 isn't divisible. it is 14.33333 repeating decimal.

Same if you really use your time and count. So i dont know if u meant 53 it will be 53 if you meant 56 it will be 16.