Find the sum of the following arithmetic series:
3 +7 +11 +15 +... +47.
The sum of this series is___

The sum of the given series is 300.

Step-by-step explanation:

Given,

The arithmetic series: 3+7+11+15+.....+47

To find the sum of the series.

Formula

Sum of the series = where, n is the number of term, a is the first term and l is the last term.

nth term of a series = = a+(n-1)d where d is the common difference

Now,

Here, a=3

d = 7-3 = 11-7=15-11=4

Hence,

47 = 3+(n-1)4

or, 4(n-1) = 47-3

or, 4(n-1) = 44

or, n-1 = 11

or, n = 12

Now,

Sum = (3+47) = 300

i got 142 as my answer

step-by-step explanation:

1: -2 3/4, -2 1/2, -14, 0, 3, 8 1/3

2: -4, -3, -2 1/2, -2 1/4, 3 1/4,

step-by-step explanation: