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3 years ago

Question 1

Mathematics

1 answer:

Aleksandr-060686 [28]3 years ago

7 0

Answer:

T5 = 512

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

T5 = 512

Hence the next term is 512

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