Question

What would you get if you added up all the odd numbers between 1 and 7 (inclusive)?

Answer 1

Heya!!!

Here's ur answer..

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First term (a)= 1

Last term (l) = 7

Common difference (d) = 2

So, last term = a+(n-1)d

7 = 1 + (n-1) 2
6 = (n-1) 2
3 = n-1
n = 4

So,number of terms = 4.

Now,sum =
$\frac{n}{2} (a + l) \\ = \frac{4}{2} (1 + 7) \\ = 2 \times 8 \\ = 16.$
Or

Number of terms = 4

So, sum of odd numbers = n²=(4) ²=16.

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