Question

Brainliest!!!!!!!!!!!!!!

Answer 1

Answer:

The answer is 286.

Explanation:

We first find the first term of the sequence, a₁. We use the explicit formula for an arithmetic sequence to do this:

We know the 6th term is 22; this means we substitute 6 in for n. We also know the common difference is 6, so we use that for d. That gives us a₆=a₁+6(6-1).

We know the value of the sixth term is 22, so we use that instead of a₆:

22=a₁+6(6-1).

Evaluating this, we have

22=a₁+6(5)

22=a₁+30.

Subtract 30 from both sides, and we have

22-30=a₁

-8=a₁.

We now use this value in our explicit formula:

To find the fiftieth term we replace n with 50:

a₅₀= -8+6(50-1)

a₅₀= -8+6(49)

a₅₀= -8+294

a₅₀=286