Question

Complete the series 7 9 40 74 1526 with explanation

Answer 1

Answer:

Step-by-step explanation:

Bro , its easy

Let square take the square of 1 term then sub by second term

Eg (7)2 =49

49-9 =40

(9)2= 81

81-7 =74

Similarly (74)2=5476

5476 - 1526 = 3950,,

Apply this trick in every concestutive term of this series

Hope it will help u

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Answer 2

Answer: 5436

Step-by-step explanation:

given SERIES IS 7, 9, 40, 74, 1526, ..............

let us denote nth term as $t_{n}$

So, here the series follows as

t₃ = (square of  t₁) - t₂

   = (t₁)² - t₂ = 7² - 9 = 40

t₄ = (t₂)² - t₁  = 9² - 7 = 81 - 7 = 74

by this format we can say that the series follows

tₙ = (tₙ₋₂)² - tₙ₋₁    (if n is odd i .e. 3,5,7,.... )

tₙ = (tₙ₋₂)² - tₙ₋₃    (if n is even i.e. 4,6,8,.... )

similarly,

t₅ = 40² - 74 = 1600 - 74 = 1526

∴ t₆ = 74² - 40 = 5476 - 40 = 5436

therefore, the next number in series is 5436.

∴ the series will be 7, 9, 40, 74, 1526, 5436, 2323240, 29548570, 5397414549030, 873117986721660,.......................

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