Question

fins missing term i. series 71,56,43,?,23,16​

Answer 1

Answer:

The missing term in the given series is 32.

Step-by-step-explanation:

The given series is 71, 56, 43, ?, 23, 16.

We have to find the missing term in this series.

Now,

71, 56, 43, x, 23, 16

Let's check the difference between the two consecutive terms.

t₁ - t₂ = 71 - 56 = 15

t₂ - t₃ = 56 - 43 = 13

t₃ - t₄ = 43 - x = y

Here, the difference between two consecutive terms is getting reduced by 2.

∴ 13 - y = 2

⇒ y = 13 - 2

⇒ y = 11

Now,

43 - x = 11

⇒ x = 43 - 11

⇒ x = 32

Now,

t₄ - t₅ = 32 - 23 = 9

t₅ - t₆ = 23 - 16 = 7

∴ The missing term in the given series is 32.

Answer 2

The missing term is 32

$\pink \ast \: \: \: \mathfrak{ \orange{the \: \: \: missing \: \: \: term \: \: \: is}} \: \: \: \bold{ \green{ \sf 32}}$