4, 7, 11, 18, 29, 47, _____, 123, 199. Insert the missing number in the given series :
(a) 76
(b) 70
(c) 84
(d) 102
Answers
Answer:
Starting from the 3rd number .
The sum of presiding 2 numbers = to the next number.
4+7=11
11+7=18
29+18=47
Step-by-step explanation:
Given,
4, 7, 11, 18, 29, 47, --, 123, 199.
To Find,
The missing number in the series.
Solution,
Given that,
A series
4, 7, 11, 18, 29, 47, -, 123, 199.
Here, one term is missing.
Let's take missing number = x
4, 7, 11, 18, 29, 47, x, 123, 199.
We need to find the relation of each term with each other.
By looking into the series, it's clear that
the third term is the sum of the preceding two numbers.
ie,
here, the third term
11 = 4+7 (preceding two terms)
Like that,
18 = 7+11
29 = 11 +18
47 = 29+18
So the missing number will be the sum of its preceding two numbers.
x = 29+47
x = 76.
Hence the number that is missing in the series is 76. Option(a) is correct.