Activity No. 1 Direction: Express the following sigma notation into series. 1. ΣΙ. (1- 21 + 3) 3. Ex* ()*

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Q: n What is the closed-form expression for the series 2 (k-2)², k=1 37 A + 6 n³ -n²+ 13 B 6 6

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Q: Given the power series 2 (n + 2) A x(n + 1) n = 0 1. Force the Exponent "n + 1" to be "R" like we…

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Q: Identify the two series that are the same. (a) I n= 6 00 (b) E (n + 3) n = 0 n- 3 (0) I n = 3 O (a)…

A: option 3rd is correct

Q: A. Write the first five (5) terms of the given series: an 2. a1 = 2, an+1 = 1. an = coS 3 1+ an

A: In this question we have to find first five terms of the given series.

Q: 7. Write the geometric series lin 3-notation and find its sum. 24 48 96

A: Given an infinite series. We will find sum for both finite and infinite case

Q: k j sinax“ Jtx using the first five terms of the series if a = 10, k = 0.76, and n = 3.

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Q: Evaluate each series а. 2(3п + 1) b. E-1(25 – 2n)² С. 2(2n - 3)

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Q: Find the sum of the series (-1)" n² + 1' n=1

A: We will use fourier series to evaluate the sum of this series

Q: Values of a series; Since EniXi = 180, x= 4.5 and Eni (Xi- x)2 =56, what is the coefficient of…

A: Given: The formula and calculations for s, i.e, sample standard deviation is as follows:

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Q: 12x3 Find the power series for f(x) = in the form > an. (1 – x+)² n=1 - Hint: First, find the power…

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Q: Find the sum: 1+ 6+ 11 + ... + 41 Answer:

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Q: Find a or series for fas = e* centred at, C= - 3. show detai led (redit: loy . Shou your work neotly…

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Q: Evaluate e Σ=1 3η n 2η - 1

A: Consider the given series. ∑n=183nn2n-1. we can write it as ∑n=183n22n-1.

Q: 1 by comparison to the geometric series. 1-x' Write the power series for

A: Power seriese expansion

Q: п/4 S tan " (x)d . Determine a series which represents -1

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