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Sagot :
The sum of the first ten terms of the given sequence when approximated to four decimal places is; 9.6758
What is the sum of the sequence?
We are given the formula for the sequence as;
aₙ = 1 + (⁻¹/₂)ⁿ
Thus;
First term; a₁ = 1 + (⁻¹/₂)¹ = 0.5
a₂ = 1 + (⁻¹/₂)² = 1.25
a₃ = 1 + (⁻¹/₂)³ = 0.875
a₄ = 1 + (⁻¹/₂)⁴ = 1.0625
Fifth term; a₅ = 1 + (⁻¹/₂)⁵ = 0.96875
a₆ = 1 + (⁻¹/₂)⁶ = 1.01563
a₇ = 1 + (⁻¹/₂)⁷ = 0.99219
a₈ = 1 + (⁻¹/₂)⁸ = 1.00391
a₉ = 1 + (⁻¹/₂)⁹ = 0.99805
Tenth term; a₁₀ = 1 + (⁻¹/₂)¹⁰ = 1.0098
Thus, sum of all those ten terms is;
S₁₀ = 9.6758
Read more about sum of sequence at; https://brainly.com/question/27201995
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