Does the series converge or diverge? If it converges what is the sum? please please show your work.

It diverges.

Step-by-step explanation:

∞∑(-1/2)^n=1

a=-1/2

r=-1/2

This is what I put and it's the best I could find after searching the web! If anybody can find a better answer post it here.

3a + 4b = 4.85multiply by 4
4a + 10b = 8.75...multiply by -3

12a + 16b = 19.40...result of multiplying by 4
-12a - 30b = - 26.25...result of multiplying by -3
add
-14b = - 6.85
b = -6.85 / -14
b = 0.489 rounds to 0.49 <== price per banana

3a + 4b = 4.85
3a + 4(0.49) = 4.85
3a + 1.96 = 4.85
3a = 4.85 - 1.96
3a = 2.89
a = 2.89/3
a = 0.963 rounds to 0.96 <== price per apple