Question

Use a graphing calculator to do the following.
an = n2 + 2n
(a) Find the first 10 terms of the sequence.
a1 =
a2 =
a3 =
a4 =
a5 =
a6 =
a7 =
a8 =
a9 =
a10 =

Answer 1

To find the first 10 terms of the sequence an = n^2 + 2n, we can use a graphing calculator by plugging in different values of n and evaluating the expression.

The first 10 terms are as follows:

a1 = 1^2 + 2(1) = 1 + 2 = 3
a2 = 2^2 + 2(2) = 4 + 4 = 8
a3 = 3^2 + 2(3) = 9 + 6 = 15
a4 = 4^2 + 2(4) = 16 + 8 = 24
a5 = 5^2 + 2(5) = 25 + 10 = 35
a6 = 6^2 + 2(6) = 36 + 12 = 48
a7 = 7^2 + 2(7) = 49 + 14 = 63
a8 = 8^2 + 2(8) = 64 + 16 = 80
a9 = 9^2 + 2(9) = 81 + 18 = 99
a10 = 10^2 + 2(10) = 100 + 20 = 120