Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Discover the answers you need from a community of experts ready to help you with their knowledge and experience in various fields. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.
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
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.
