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In a certain series, each number except the first and second is obtained by adding the previous two numbers. If the first no is 2 and sixth no is 26, then the seventh number is:

a) 52
b) 46
c) 40
d) 42

Answer: d
Explanation: 1st no. = 2
2nd no. = x (let)
3rd no. = x + 2
4th no. = x + x + 2 = 2x + 2
5th no. = x + 2 + 2x + 2 = 3x + 4
6th no.,
3x + 4 + 2x + 2 = 26
5x = 20
x = 4
7th no. = 26 + 3x + 4 = 26 + 3 × 4 + 4 = 42

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