Respuesta :

that is
the sum of all the terms from a1 to an when you are summing up n terms is n(a1+an)/2
so

find the 1st and 15th term
1st term is a1=10(1)=21=10+21=31
15th term is a15=10(15)+21=150+21=171

and n=15
15(31+171)/2=15(202)/2=3030/2=1515
the sum of the first 15 term is 1515

The sum of the first 15 terms will be equal to 1515.

What is arithmetic progression?

The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression

The sum of all the terms from a1 to an when you are summing up n terms is

S =   n   (a₁  +  an )  /  2

find the 1st and 15th term

1st term is a₁=  10  (  1 )  =   21  =  10 + 21  =  31

15th term is a₁₅  =   10 ( 15 ) + 21 = 150 + 21 = 171

and n  =  15

= 15 ( 31 + 171 ) / 2  

= 15 ( 202 ) / 2  

=  3030/2  

=  1515

Therefore the sum of the first 15 terms will be equal to 1515.

To know more about arithmetic progression follow

https://brainly.com/question/6561461

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