Question

Find next term write logic
79,61,44,29,?

Answer 1

yeah sure for your help



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1 St METHOD


⏩ Let's look at the number


What you see is that all the number is


☺ When you subtract 61 from 79 You get 18


☺When you subtract 44 from 61 you get 17


☺ When you subtract 29 from 44 you get 15



SO , it clear that for finding next number we have to find we have a difference of 13


■ let's subtract 16 from 29



29 - 16 = 13


Hence , 16 is the correct answer



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2ND METHOD


☆ 9 × 9 =81

81 - 2

79


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☆ 8 × 8 = 64

64 - 3

61


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☆ 7× 7 = 49

49 -5

44

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☆ 6 × 6

36

36 - 7

29

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☆ 5 ×5

25

25 -9


16


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Answer 2

Concept:

A sequence is the term used to describe an arrangement of numbers in a specific order that follows a predetermined rule.

Given:

The sequence 79, 61, 44, 29,...

Find:

The value of the next term in the sequence.

Solution:

Consider the sequence,

79, 61, 44, 29,...

Let the terms be a₁ = 79, a₂ = 61, a₃ = 44, a₄ = 29

When we subtract the second term from the first term,

a₁ - a₂ = 79 - 61 = 18

When we subtract the third term from the second term,

a₂ - a₃ = 61 - 44 = 17

When we subtract the fourth term from the third term,

a₃ - a₄ = 44 - 29 = 15

Therefore, when we subtract the fifth term from the fourth term the difference should be 13.

a₄ - a₅ = 13

29 - a₅ = 13

a₅ = 29 - 13 = 16

The next term in the sequence is 16.

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