Question

study the following pattern:
1 = 1²
1 + 3 = 2²
1 + 3 + 5 = 3²
1 + 3 + 5 + 7 = 4²

hence find the sum of
(a) first 12 odd numbers.
(b) first 50 odd numbers. ​

Answer 1

Answer:

Hello mate ✌️

Step-by-step explanation:

a). If the number is starting from 1 then you can do simply n^2. for example: if n=6 like 1,3,5,7,9,11 then it's sum will be 6^2=36. But if odd number series not start from 1 then formula will be sn=n/2(2a+(n-1)d).

b). step 1 Address the formula, input parameters & values.

Input parameters & values:

The first 50 odd numbers

1, 3, 5, . . . . , 97, 99

step 2 Find the sum of first 50 odd numbers

1 + 3 + 5 + . . . . + 97 + 99 = 2500

step 3 Divide the sum by 50

2500/50 = 50

Thus, 50 is an average of first 50 natural numbers or positive integers

hope it will be helpful to you ✌️

itz Essar 03 ❤️

Answer 2

Answer:

a.)144

b.)2500 is the answer for the two questions