Math, asked by Ayushi0075, 1 year ago

3, 14, 39, ?, 155 , 258

Answers

Answered by madhura41
55
1^3  + 1^2 + 1 = 1 + 1 + 1 = 3

2^3 + 2^2 + 2 = 8 + 4 + 2 = 14

3^3 + 3^2 + 3 = 27 + 9 + 3 = 39

4^3 + 4^2 + 4 = 64 + 16 + 4 = 84

5^3 + 5^2 + 5 = 125 + 25 + 5 = 155


U r Ans :=>>> 84
I hope it's help U ;-)

Ayushi0075: Thnkuuu dr
madhura41: welcome
Answered by erinna
24

Answer:

84

Step-by-step explanation:

The given pattern is

3, 14, 39, ?, 155 , 258

We need to find the missing term.

1^3 + 1^2 + 1 = 1 + 1 + 1 = 3              (Add 1³, 1² and 1)

2^3 + 2^2 + 2 = 8 + 4 + 2 = 14             (Add 2³, 2² and 2)

3^3 + 3^2 + 3 = 27 + 9 + 3 = 39             (Add 3³, 3² and 3)

Using the same pattern we need to add 4^3,4^2 and 4 to find the next term.

4^3 + 4^2 + 4 = 64 + 16 + 4 = 84             (Add 4³, 4² and 4)

5^3 + 5^2 + 5 = 125 + 25 + 5 = 155             (Add 5³, 5² and 5)

Therefore the missing term is 84.

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