Find the sum of the first 47 terms of the following series, to the nearest integer. 12, 16. 20. ...

The sum of the first 47 terms of the series, 12, 16, 20, ... S₄₈ is 4,888

Step-by-step explanation:

The given series is;

12, 16, 20, ...,

Therefore, the first term of the series is, a = 12

The common difference of series is found as follows;

The difference between subsequent terms, 12 and 16 is  16 - 12 = 4

The difference between subsequent terms, 16, and 20 is  20 - 16 = 4

Therefore, the common difference, d = 4

The series is therefore an arithmetic projection, AP

The sum of the first 'n' terms of an AP, Sₙ, is given as follows;

(47/2)*(2*12+(47-1)*4)

The sum of the first 47 terms is therefore given as follows;

The sum of the first 47 terms of the series, 12, 16, 20, ... S₄₈ = 4,888

pakistan's principal natural resources are arable land and water. about 25% of pakistan's agriculture accounts for about 21% [1] of gdp and employs about 43% of the labour force. in pakistan, the most agricultural province is punjab where wheat and cotton are the most grown.

600,000,000,000, or 6e14

step-by-step explanation: