Can you Find the Next Term in the Series: 2, 12, 36, 80, 150... | BYJU'S Math Question of the Week

In this episode of Math Question Of The Week, your math teacher Khushbu Ma'am brings your a challenge question! Can you find the next term in the series: 2, 12, 36, 80, 150...

Are you smartest enough to solve? Give the question a shot and let us know in the comment section if you were able to solve it on your own

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[omshankar]

We can see that the given nos. are in the form x²+x³
i.e. 1² + 1³ = 1 + 1 = 2
2² + 2³ = 4 + 8 = 12
3² + 3³ = 9 + 27 = 36
4² + 4³ = 16 + 64 = 80
5² + 5³ = 25 + 125 = 150
.
.
.
In the same way,
6² + 6³ = 36 + 216 = 252
Therefore, the next no. in the same series is 252 .

[yashmahawar]

Nice question thank you byju's
I found it with a different method :
2 12 36 80 150 '252'
10 24 44 70 '102'
14 20 26 '32'
6 6 '6'
So answer is 252

[sarojdevi-wn]

Homework answer: option (D) is correct answer -- explanation:: we see that and we get this formula and it's work on it = x^2+x^3.
So, let's solve this series--.
1^2+1^3 = 1+1 = 2
2^2+2^3 = 4+8 = 12
3^2+3^3 = 9+27 = 36
4^2+4^3 = 16+64 = 80
5^2+5^3 = 25+125 = 150.
Now, it's same case here in 6.
---> 6^2+6^3 = 36+126 = 252.
And next numbers is also in this series continue and same formula

[pikunnanda]

The session was outstanding and always will be...

[kalyanihere_]

This was excellent !!! Please carry this on and bring in more questions !!

[shrikasshetty]

Mam, The question is amazing💕. It was very fun solving this question. Thank you BYJUS 👍+🧁=😇