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Find the sum of 10 terms G.P with first term and common ratio being 8 and 3 respectively?
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Find the sum of 10 terms G.P with first term and common ratio being 8 ...
Sum of 10 terms in a Geometric Progression (G.P)
- To find the sum of 10 terms in a Geometric Progression, we can use the formula:
Sₙ = a * (1 - rⁿ) / (1 - r), where Sₙ is the sum of n terms, a is the first term, r is the common ratio,
and n is the number of terms.
Given values:
- First term (a) = 8
- Common ratio (r) = 3
- Number of terms (n) = 10
Calculating the sum of 10 terms:
- Substituting the given values into the formula:
S₁₀ = 8 * (1 - 3¹⁰) / (1 - 3)
S₁₀ = 8 * (1 - 59049) / (-2)
S₁₀ = 8 * (-59048) / (-2)
S₁₀ = -472384 / -2
S₁₀ = 236192
Therefore, the sum of 10 terms in the Geometric Progression with a first term of 8 and a common ratio of 3 is 236192.
- To find the sum of 10 terms in a Geometric Progression, we can use the formula:
Sₙ = a * (1 - rⁿ) / (1 - r), where Sₙ is the sum of n terms, a is the first term, r is the common ratio,
and n is the number of terms.
Given values:
- First term (a) = 8
- Common ratio (r) = 3
- Number of terms (n) = 10
Calculating the sum of 10 terms:
- Substituting the given values into the formula:
S₁₀ = 8 * (1 - 3¹⁰) / (1 - 3)
S₁₀ = 8 * (1 - 59049) / (-2)
S₁₀ = 8 * (-59048) / (-2)
S₁₀ = -472384 / -2
S₁₀ = 236192
Therefore, the sum of 10 terms in the Geometric Progression with a first term of 8 and a common ratio of 3 is 236192.
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Find the sum of 10 terms G.P with first term and common ratio being 8 and 3 respectively?
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Find the sum of 10 terms G.P with first term and common ratio being 8 and 3 respectively? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Find the sum of 10 terms G.P with first term and common ratio being 8 and 3 respectively? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the sum of 10 terms G.P with first term and common ratio being 8 and 3 respectively?.
Find the sum of 10 terms G.P with first term and common ratio being 8 and 3 respectively? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Find the sum of 10 terms G.P with first term and common ratio being 8 and 3 respectively? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the sum of 10 terms G.P with first term and common ratio being 8 and 3 respectively?.
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