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03-08-2020
Mathematics

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find the sum 7+7(2)+7(2^2)+...+7(2^9)

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MathPhys MathPhys

03-08-2020

Answer:

7161

Step-by-step explanation:

7 + 7(2) + 7(2)² + ... + 7(2)⁹

= ∑₁¹⁰ 7(2)ⁿ⁻¹

= 7 (1 − 2¹⁰) / (1 − 2)

= 7161

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