Paris98
contestada

Need help. Don't have a calculator.

Find the sum of the first n terms
1+-2+4+-8+16+-32+... (10 terms)

Formula: a-a*r^n / 1-r

Respuesta :

the formula is
[tex] \frac{a_1(1-r^n)}{1-r} [/tex]
a1=first term
n=which term
r=common ratio
we see the common ratio is -2
frs term is 1
and we go to 10th term so n=10

[tex] \frac{1(1-(-2)^{10})}{1-(-2)} [/tex]
[tex] \frac{1(1-1024)}{1+2} [/tex]
[tex] \frac{1(-1023)}{3} [/tex]
-341
the sum is -341