Question

Find the 29th term of this sequence: -121, -108, -95, -82

Answer 1

Solve is in the picture

Good luck :)

Answer 2

It's an arithmetic sequence.


`a_1=-121;\ a_2=-108;\ a_3=-95;\ a_4=-82\\\\a_n=a_1+(n-1)r\\\\r=a_(n+1)-a_n\\\\r=-108-(-121)=-108+121=13\\\\a_n=-121+(n-1)\cdot13=-121+13n-13=13n-134\\\\a_(29)=13\cdot29-134=243\\\\Answer:\boxed{a_(29)=243}`