Math Assignment Help With For An Infinite Series

5.9.2 For an infinite series:

S_n = a (1 – rⁿ)

1 – r

As n→ ∞ and |r| > 1 , |rn|→∞ and S_n →∞

As n→ ∞ and |r| < 1 , |rn|→∞ and S_n →S∞

Therefore,

S_n = a(1 – 0)

1 – r

S_∞ = a

1 – r

Example: {4, 2, -1, 0.5, -0.25, 0.125, -0.0625, 0.03125, -0.015625, . . .}.

Solution: a = 4 and r = 0.5

Sn = a

1 – r

4

1 – 0.5

4/0.5

= 8

Email Based Assignment Help in For An Infinite Series

To Schedule a For An Infinite Series tutoring session Live chat
To submit For An Infinite Series assignment click here.

Following are some of the topics in Sequences Of Numbers And Series in which we provide help: