Question

What is the next number in
the

series?

56,46,36,26.​

Answer 1

Answer:

16,6 is the answer for your question

Answer 2

The next term would be 16.

Given,

Series → 56,46,36,26.​.......

To Find,

The next number in the series

Solution,

After carefully observing we can conclude that this series is like an Arithmetic Progression (AP)

Now the first term 'a' here is,

a = 56

The common difference 'd' here is,

d = 46 - 56

d = - 10

Therefore, the general term 'Tₙ' for this series would be given as -

Tₙ = a + (n - 1)d

Tₙ = 56 + (n - 1)(-10)

Tₙ = 56 + [-10n - 1(-10)]

Tₙ = 56 + [-10n + 10]

Tₙ = 66 - 10n

Also, we have been given 4 terms of the series and we need to find the 5th term now.

T₅ = 66 - 10(5)

T₅ = 66 - 50

T₅ = 16

Hence, the next term would be 16.

#SPJ2

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