Question

The sum of successive odd number 1,3,5,7,9,11,13,and15

Answer 1

Answer:

So, the sum of successive odd numbers 1,3,5,7,9,11,13,15,17 is 81

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Answer 2

Answer:

80

Step-by-step explanation:

Given that,

A series 1,3,5,7,9,11,13,15,17.

To find,

The sum of successive odd numbers.

Solution,

The given sequence is in AP with,

First terms, a = 1

Common difference, d = 3-1 = 2

Number of terms, n = 9

The sum of nth term of an AP is given by :

S_n=\dfrac{n}{2}[2a+(n-1)d]Sn=2n[2a+(n−1)d]

So,

\begin{gathered}S_n=\dfrac{9}{2}[2\times 1+(9-1)\times 2]\\\\S_n=\dfrac{9}{2}\times (2+16)\\\\S_n=81\end{gathered}Sn=29[2×1+(9−1)×2]Sn=29×(2+16)Sn=81

So, the sum of successive odd numbers 1,3,5,7,9,11,13,15,17 is 81.