Question

Find the given term in each geometric sequence.
Hint: Take the 1st number in the pattern x the rate of the pattern to the exponent of (term wanted minus 1).
9th term: 4.5, 9, 18, 36
7th term: 2, 6, 18, 54
6th term: 25, 75, 225, 675
A.) 6075
B.) 1458
C.)1152

Answer 1

In the sequence

4.5, 9, 18, 36

the common ratio is 2 since 18/9 = 2 or 36/18 = 2

Answer 2

so r = 2

Answer 3

the first term is a = 4.5

Answer 4

the nth term is therefore

an = a*r^(n-1)

an = 4.5*2^(n-1)

Answer 5

This formula can now be used to find any term you want

In this case, we want the 9th term, so...

an = 4.5*2^(n-1)

a9 = 4.5*2^(9-1) ... plug in n = 9

a9 = 4.5*2^8

a9 = 4.5*256

a9 = 1152

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So the ninth term of the sequence

4.5, 9, 18, 36, ...

is the number 1152

Answer 6

an then 7th term: is 1458 an 6th term: is 6075?

Answer 7

nailed them both

Answer 8

yay thanks for the help!(:

Answer 9

you're welcome