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Sums of Multiples Series

Sums of Multiples Series. You can also find the sum of a Finite Geometric Series using a formula. You need the first term, the number of terms and the common ratio. The sum of Finite Geometric Sequence uses the formula below. Finding the Sums of Finite Geometric Series

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Sums of Multiples Series

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  1. Sums of Multiples Series

  2. You can also find the sum of a Finite Geometric Series using a formula. You need the first term, the number of terms and the common ratio. The sum of Finite Geometric Sequence uses the formula below.

  3. Finding the Sums of Finite Geometric Series What is the sum of the finite geometric series? The first term is 3. The common ratio is . The nth term is 3072. Use the explicit formula Substitute in known values Divide by 3 1024 is , so and Use the formula for the sum of a geometric series Simplify The sum of the geometric series is 6141

  4. Find the sum of a finite Geometric series. Find the value of the first term by using the lower limit plugged into the equation of the summation. becomes Use the sum formula , where , and The sum of the series is approximately 8 We used the same formula we used for finding the number of terms as before. The upper limit – the lower limit + 1

  5. For b, we do a little more. First find the value of n. 10-1+1=10 n = 10 For a, we can add the terms OR Use the formula . =-15, n = 6, r = -2 The number of parentheses you see are required to get your answer correct!!

  6. How many kernels of grain will the soldier receive? Hint; there are 64 squares 18,450,000,000,000,000,000

  7. To save money for a vacation, you set aside $100. For each month thereafter, you plan to set aside 10% more than the previous month. How much money will you save in 12 months? about $2138.43

  8. We can also find the sum of certain Infinite Geometric Series using the formula below.

  9. Does the series converge or diverge? If it converges, what is the sum? Sincethe series converges. Is there a sum to this geometric series? Since the series diverges

  10. Try IT!! Does the infinite series converge or diverge? If it converges, what is the sum? a.) b.) c.) a.) diverges b.) converges; c.) converges; 2 d.) Will an infinite geometric series either converge or diverge? Explain. Yes, if the series converges. If the series diverges.

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