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Find the partial sum, S5, for the geometric sequence with a=6,r=3. S5=

User Tuvokki
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Answer:

Step-by-step explanation: The formula for the partial sum (Sn) of a geometric sequence is:

Sn = a * (1 - r^n) / (1 - r)

Where:

- Sn is the sum of the first n terms of the sequence.

- a is the first term of the sequence.

- r is the common ratio.

- n is the number of terms.

Given a = 6, r = 3, and n = 5, we can plug in these values into the formula to find S5:

S5 = 6 * (1 - 3^5) / (1 - 3)

S5 = 6 * (1 - 243) / (-2)

S5 = 6 * (-242) / (-2)

S5 = 726

Therefore, the partial sum S5 for the geometric sequence with a = 6 and r = 3 is 726.

User Shawon Kanji
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