The first term in a gemoetric series is 5 and the common ratio is 2 find the sum of the first 10 terms

5115

Step-by-step explanation:

We know:

a_1 = 5   the first term in the geometric sequence.

r = 2

We want  Sum a_i  for i = 1 to 10

a_n = 5* 2^(n-1)

Sum a_i for i = 1 to 10  =  G

G =  a_1* (2*2^(n-1) -  1)  /  (2 - 1)

G = 5 * (2^(n)  - 1)/  (2 - 1),   n = 10

G = 5* (2^(10)  - 1)

G = 5*(1024 - 1)  = 5*(1023) = 5115

y=-2.5x+12.5

step-by-step explanation:

5y=2x+10

y=0.4x+2

slope=-2.5

5=-2.5*3+b

b=12.5