Question

Q 13 Find the missing term in the series are
43, 45, 50, -, 69,83​

Answer 1

Answer:

it is not an Arithmetic Progression or AP

Answer 2

Answer:

The missing term in the series 43, 45, 50, -, 69, and 83​ is 58.

Step-by-step explanation:

Assumption,

Let the value of unknown be 'x'.

Given,

The series 43, 45, 50, -, 69,83​

To find,

The value of unknown 'x'.

Calculation,

In the series 43, 45, 50, -, 69, and 83​ we try to calculate the difference between the consecutive numbers.

i.e.

45 - 43 = 2

50 - 45 = 5

x - 50 = y (let)

69 - x = z (let)

83 - 69 = 14

We can observe that the difference is in A.P

i.e. 2, 5, y, z, 14 are in A.P

So y = 5 + (5 - 2)

⇒ y = 8

So, the value of x is 50 + 8 = 58

Verification,

We try to find the value of 'z' by using the value 'x' and find if the value 'z' is in A.P or not.

So 69 - x = z

⇒ 69 - 58 = 11 = z

Hence, 2, 5, 8, 11, and 14 are A.P as we assumed

Therefore, the missing term in the series 43, 45, 50, -, 69, and 83​ is 58.

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