What comes next in this sequence 2, 5, 14, 26, 79, 126?

My answer to What comes next in this sequence 2, 5, 14, 26, 79, 126?

Answer by Praveenkumar Kalikeri:

Thanks for the question.

First let us rewrite the given sequence:

Let Y be the next term in the sequence.

2, 5, 14, 26, 79, 126, Y

Now, we will find difference between the terms of sequence as

5 -2 = 3 ———————(1)

14- 5 = 9 ——————-(2)

26–14 = 12 —————- (3)

79–26 = 53 ————— (4)

126- 79 = 47 —————(5)

Y- 126 = X ( let X be difference here ) ———-(6)

Now, we can observe the pattern as

(1) + (4) = 56

(2) + (5) = 56

Similarly, we should have (3) + (6) = 56

Therefore, 12 + X = 56

X = 56–12 = 44

Finally, we have

Y = 126+44

Y = 170

Therefore, next term in the sequence is 170.

Hope it is correct.

What comes next in this sequence 2, 5, 14, 26, 79, 126?

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About Praveenkumar P Kalikeri

ABOUT US Hey,Thanks for dropping by .First I would like to Appreciate for your love towards the Mathematics Subject. My name is Praveenkumar Kalikeri. I'm an Engineering Student from Karnataka , India. My Passion for Mathematics , encouraged me to start this blog . I Started loving the Mathematics subject from my schooling days.I was greatly motivated by teachers, parents who always helped me .        Numbers have Beauty !! They fascinated me .. As we all know best method to try out something new is to study old theories , concepts , its drawbacks, etc. I ,myself Started learning Vedic Mathematics at age of 15. Here , I will share vedic maths tricks learned and modified by me in simple manner which will be useful in various competitive exams. "If You Believe , You Can Do".
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