Find the correct sum of each geometric sequence.
2 answers:
A geometric sequence with first term "a" and common ratio "r" has "nth" term:
ar^(n-1)
And the sum of a geometric sequence with "n" terms, first term "a," and common ratio "r" has the sum "a(r^n - 1)/r - 1.
1.) 765
2.) 300
3.) 1441
4.) 244
5.) 2101
Answer:
1.765
2.301
3.1441
4.183
5.2101
Step-by-step explanation:
We are given that
1.
We know that sum of nth term in G.P is given by
when r > 1
when r < 1
n=8, r=2 a=3
Therefore,
because r > 1

1. Sum of given G.P is 765
2.
nth term of G.P is given by the formula

Therefore , applying the formula



When base equal on both side then power should be equal
Then we get n-1=3
n=3+1=4
Applying the formula of sum of G.P
where r < 1



3.
Therefore, 



4.
where r < 1


5.
r < 1



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