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The first four terms of an arithmetic sequence are -11, -5, 1, 7.
What is the equation for a?

Respuesta :

1) F + (N - 1)*D=Nth Term, where F=First term, D=Common difference and N=Number of terms.

-1 + (8 - 1)*D =20, solve for D

-1 + 7D = 20

7D = 20 + 1

7D =21 divide both sides by 7

D = 21 / 7

D = 3 Common difference

 

2)

(F + L) / 2*N, where F=First term, L=Last term and N=Number of terms.

Sum = (-7 - 115) / 2*13

Sum =( -122 / 2) * 13

Sum = -61 * 13

Sum = -793

An=−11+(n−1)⋅6, n is the number of terms