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CaHeK987 [17]
4 years ago
13

Find the 30th term of the geometric sequence 100, 80, 64,...

Mathematics
1 answer:
Zinaida [17]4 years ago
5 0

Answer:

0.155

Step-by-step explanation:

nth term of a geometric sequence = ar^n-1

Where,

a = first term

r = common ratio

n = number of terms

Given:

100, 80, 64,...

a = 100

r= 80/100

= 4/5

30th term of a geometric sequence = ar^30-1

= ar^29

= 100 × (4/5)^29

= 100 × (0.8)^29

= 100 × 0.00155

= 0.155

Therefore,

30th term of the geometric progression = 0.155

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