Find the first five terms of the sequence in which a1 = –10 and an = 4an – 1 + 7, if n ≥ 2.

The first five terms of the sequence are -10, -33, -125, -493, -1965

Explanation:

The given expression is

And is the first term of the sequence.

We need to determine the first five terms of the sequence.

Second term:

Substituting n = 2 in the expression , we have,

Thus, the second term is -33

Third term:

Substituting n = 3 in the expression , we have,

Thus, the third term is -125

Fourth term:

Substituting n = 4 in the expression , we have,

Thus, the fourth term is -493

Fifth term:

Substituting n = 5 in the expression , we have,

Thus, the fifth term is -1965

Hence, the first five terms of the sequence are -10, -33, -125, -493, -1965

6^2 or 36

step-by-step explanation:

6000n

6×1000n

6×10^3 n

so we need 6n need to be a perfect cube

so n has to be 6^2 so that 6n is 6^3

what i'm saying is if you let n be 6^2 you have 6^3×10^3 or 60^3 which is a perfect cube

look at the picture i have filled out a table for it. hope this .