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rewona [7]
2 years ago
6

Question 1

Mathematics
1 answer:
Aleksandr-060686 [28]2 years ago
7 0

Answer:

<em>T5 = 512</em>

Step-by-step explanation:

Given the sequence

2,8, 32, 128,...

The sequence is a geometric progression

nth term of a geometric progression is expressed as:

Tn = ar^n-1

a is the first term = 2

n is the number of terms = 5 (next term is the 5th term)

r is the common ratio = 8/2 = 32/8 = 4

Substitute and get the fifth term

T5 = 2(4)^5-1

T5 = 2(4)^4

T5 = 2*256

<em>T5 = 512</em>

<em>Hence the next term is 512</em>

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