Pls I need answer on number 7. I’m not sure if it’s 11 or 12.
2 answers:
You might be interested in
Answer:
Step-by-step explanation:
Given:
Fifth term of a geometric sequence =
Common ratio (r) = ¼
Required:
Formula for the nth term of the geometric sequence
Solution:
Step 1: find the first term of the sequence
Formula for nth term of a geometric sequence = , where:
a = first term
r = common ratio = ¼
Thus, we are given the 5th term to be ¹/16, so n here = 5.
Input all these values into the formula to find a, the first term.
Cross multiply
Divide both sides by 16
Step 2: input the value of a and r to find the nth term formula of the sequence
nth term =
nth term =
- Expand & simplify ⇨
. Give your answer in the form
where b & c are integers.
Use binomial theorem to expand
.
The square of is 10.
Factor . Rewrite the square root of the product
as the product of square roots
.
Multiply and
to get 2.
Multiply -2 and 2 to get -4.
The square of is 2.
Add 10 and 2 to get 12.
- Here, b & c are integers where