Sn denotes the sum of the first n terms of an AP prove that S30 = 3 (S20-S10

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A: sn=2sn-1 __________________________ s2=2s1

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Q: 1. By using (For -End) loop find the summation of the next equation for n=2 and 15. 3x4k-1 9* k=1

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A: Correlation coefficient : r=n(∑xy)-(∑x)(∑y)[ n∑x2-(∑x)2 ] [ n∑y2-(∑y)2 ]

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Q: Use |S – SN| < bN+1 to find the smallest value of N such that Sy approximates the value of the sum S…

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Q: Senes anverges diverger. if Aavergent, tnd Hhe sum 2n n t2 to h? + 2n

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Q: 5r² – 3)| -6,80 n=3 with Simpson's 3/8 rule. Find the approximate solution for

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Q: Suppose that q +1 is a constant. Calculate the sum n Sn > kq* = q+ 2q² + 3q° + · · · + ng" k=1

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Q: -4s? – 5s + 14 2s +1 + s2 + 72 5 3 + 86 1 4s -] Let G(s) = - - 5)³ (s – 2)(s – 4)(s+1) s2 + 6s + 34…

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Q: Find the z-domain equation of the impulse sequence x(n) = 8(n)- 28(n-1) + 38(n-2)- 8(n-3) %3D

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Q: (1) In an AP the T5 = 27 and the T13 = 67,  find S20 term

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.