Question

1,3,8,18,35,61,98,?,? What's next no in this series?

Answer 1

Answer:

Missing terms are

148 and 212

Step-by-step explanation:

Given series is :

1, 3, 8, 18, 35, 61, 98, ?, ?

Let, two missing terms be x and y

Now , As we can see that

• 3 - 1 = 2 = (1)² + 1

• 8 - 3 = 5 = (2)² + 1

• 18 - 8 = 10 = (3)² + 1

• 35 - 18 = 17 = (4)² + 1

• 61 - 35 = 26 = (5)² + 1

• 98 - 61 = 37 = (6)² + 1

By this,

we can conclude that

difference between the two consecutive terms of the series is in the form

n²+1 (where n will be a natural number).

so,

→ x - 98 = (7)² + 1

→ x - 98 = 49 + 1

→ x = 50 + 98

→ x = 148

and,

→ y - 148 = (8)² + 1

→ y - 148 = 64 + 1

→ y = 65 + 148

→ y = 213

Therefore,

The missing terms are 148 and 213.