Question

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

What is (3n - 2) equal to?

Answer 1

Answer: 925

Explanation:

First, we need to find the first term (a₁) and the last term (a₂₅):

`a_n=3n-2\\\\a_1=3(1)-2\\.\quad =3-2\\.\quad =1\\\\a_(25)=3(25)-2\\.\quad = 75-2\\.\quad = 73`

Now we can input the information above into the Sum formula:

`S_n=(a_1+a_n)/(2)* n\\\\S_(25)=(a_1+a_(25))/(2)\time 25\\\\.\quad =(1+73)/(2)* 25\\\\.\quad =(74)/(2)* 25\\\\.\quad =37* 25\\\\.\quad =925`