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Find the first five terms in sequences with the following nth terms.
a. n^2+3
b. 6n+3
c. 10^n-7
d. 2n-1

a. The first five terms of n^2+3 are -----, -----, -------, -------and ------.
​(Simplify your answers. Use ascending​ order.)

Answer 1

Let's find the first five terms of the given sequences.

a. For the sequence with the nth term n^2+3, we can substitute the values of n to find the corresponding terms.

When n = 1: 1^2 + 3 = 4
When n = 2: 2^2 + 3 = 7
When n = 3: 3^2 + 3 = 12
When n = 4: 4^2 + 3 = 19
When n = 5: 5^2 + 3 = 28

Therefore, the first five terms of the sequence n^2+3 are 4, 7, 12, 19, and 28.