Question

What are the first five terms of the sequence defined by the given function?

(1) = -6
f(n) = f(n - 1) + 2, for n = 2, 3, 4, ...
ОА. 2, 8, 14, 20, 26
ов. 2, -4, -10, -16, -22
о с. -6, -4, -2, 0, 2
O D. -6, -8. -10, -12, -14
0
0

Answer 1

C) With the given general term, given sequence is -6, -4, -2, 0, 2,...

Explanation:

Here, the first term f(1) = -6

The general term of the sequence :

f(n) = f(n-1) + 2

Now, we find the next five terms from the given general term:

For n = 2 : f(2) = f(2-1) + 2

= f(1) + 2 = -6 + 2 = -4

⇒ f(2) = -4

For n = 3 : f(3) = f(3-1) + 2

= f(2) + 2 = -4 + 2 = -2

⇒ f(3) = -2

For n = 4 : f(4) = f(4-1) + 2

= f(3) + 2 =-2 + 2 = 0

⇒ f(4) = 0

For n = 5 : f(5) = f(5-1) + 2

= f(4) + 2 =0 + 2 = 2

⇒ f(5) = 2

Hence with the given general term, given sequence is -6, -4, -2, 0, 2,...