Observational Skills-3

Level pending

Find the next term of series

32 , 77 , 150 , 257 , ? \color{#69047E}\large{32,77,150,257,?}

402 402 302 302 404 404 406 406 400 400 559 559

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1 solution

Achal Jain
Feb 26, 2017

1 2 + 2 2 + 3 3 = 32 \color{#3D99F6}\large{1^{2}+2^{2}+3^{3}=32}

2 2 + 3 2 + 4 3 = 77 \color{#3D99F6}\large{2^{2}+3^{2}+4^{3}=77}

3 2 + 4 2 + 5 3 = 150 \color{#3D99F6}\large{3^{2}+4^{2}+5^{3}=150}

4 2 + 5 2 + 6 3 = 257 \color{#3D99F6}\large{4^{2}+5^{2}+6^{3}=257}

\large\therefore \color{navy blue}\textit{ next term is}

5 2 + 6 2 + 7 3 = 404 \color{#3D99F6}\large{5^{2}+6^{2}+7^{3}=\boxed{404}}

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