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In the following finite sequence of integers, how many terms are divisible by their immediate next terms? 8,3,4,9,3,5,9,5,9,9,9,4,5,6,3,3,5,7,2,3,9
Question

In the following finite sequence of integers, how many terms are divisible by their immediate next terms?
8,3,4,9,3,5,9,5,9,9,9,4,5,6,3,3,5,7,2,3,9,9

A.

7

B.

4

C.

5

D.

6

Correct option is D

Given:
A finite sequence:
8, 3, 4, 9, 3, 5, 9, 5, 9, 9, 9, 4, 5, 6, 3, 3, 5, 7, 2, 3, 9, 9

Solution:
We are to find how many terms are divisible by their immediate next term.

Check each pair:
If first number is divisible by the next, count it.
Sequence:
8, 3, 4, 9, 3, 5, 9, 5, 9, 9, 9, 4, 5, 6, 3, 3, 5, 7, 2, 3, 9, 9

Pairs that work:

9 ÷ 3 = 3

9 ÷ 9 = 1

9 ÷ 9 = 1

6 ÷ 3 = 2

3 ÷ 3 = 1

9 ÷ 9 = 1

Total = 6 pairs

Final Answer: (D) 6

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