# How do you find the sum of the infinite geometric series 12+4+4/3+...?

By signing up, you agree to our Terms of Service and Privacy Policy

To find the sum of an infinite geometric series, use the formula for the sum:

[ S = \frac{a}{1 - r} ]

Where:

- ( a ) is the first term of the series
- ( r ) is the common ratio

For the given series ( 12 + 4 + \frac{4}{3} + \ldots ), the first term ( a = 12 ) and the common ratio ( r = \frac{1}{3} ).

Plug these values into the formula:

[ S = \frac{12}{1 - \frac{1}{3}} ]

[ S = \frac{12}{\frac{2}{3}} ]

[ S = 18 ]

So, the sum of the infinite geometric series ( 12 + 4 + \frac{4}{3} + \ldots ) is ( 18 ).

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- In a geometric sequence , the common ratio and the second term are 2 and 30 respectively. find the value of a and the sum of the first eight terms ?
- How do you write a geometric series for which r=1/2 and n=4?
- How to find the common ratio of geometric sequence when the sum of 5th term to 8th term is twice the first four terms?
- How do you find the sum of the infinite geometric series 12+4+4/3+...?
- If #a,a_1, a_2,.....a_10,b# are in A.P and #a,g_1,g_2,g_3................g_10,b# are in G.P and h is the H.M between a and b, then find the value of below given expression?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7