Determine the boundlessness and monotonicity of the sequence An 2n+1 %3D 3n-2

Q: Multiply: (a) (m + 2)(m – 2), (b) (3y + 4)(3y – 4), (c) (b -6 +), and (d) (tª – 6u)(tª + 6u). To…

A: To find the product of two binomials, we generally use the FOIL (First, Outer, Inner, Last) method.…

Q: Express the sum 3 + 5 + 7+ ... + (2k-1) using E-notation.

A: The given sum is 3+5+7+…+2k-1. Express the sum 3+5+7+…+2k-1 using ∑ notation as follows.

Q: Find the sum of k+w+p

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Q: n?_4

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Q: determine the closed formula that generates the sequence 1,2,4,8,16,32

A: The given sequence in the question is:

Q: Find the sum of1/1 · 3 +1/3 · 5 +1/5 · 7 +··· .

A: The given series is, 11.3+13.5+15.7+..... Consider the first term, 11.3=12×1-12×1+1 Consider the…

Q: = 5 Find a3, a4, and as for the recursive formula an = an-1 +3an-2 if a1 = 2 and a2

A: given   recursive formula is an= an-1+3an-2and   a1=2   ,  a2=5then we have to find  a3 , a4  , a5…

Q: Can you use polynomial fitting to find the formula for the nth term of the sequence 4, 7, 11, 18,…

A: No. The sequence of differences is the same as the original sequence so no differences will be…

Q: Find the sum of 1, -1/2, 1/4, .... ∞. a. 3/4 b. 2/3 c. 1/7 d. 1/2

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Q: Find the seventh term of the 10 expansion ( x+ y)º

A: We know that (x+y)n = ∑r=0nCrn xn-r yr Hence (x+y)10 = ∑r=010Cr10 x10-r yr

Q: Add. 1 and 1/4 + 1/5 * O 1 and 9/20 O 1 and 2/9 1 and 1/20 O 2/9 Subtract. 1 and 1/3 1/2 * O 2/7 O 1…

A: The detailed solution is as follows below:

Q: (n + 2)! Write down the first five terms of the sequence an %3D 8n2 + 6n + 7 d2 = dz = d4 = a5 =…

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Q: The partial sum - 3 + (– 12) +( – 48) + + (- 768) equals

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Q: Find the fourth term of the binomial expansion (4a-b)6

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Q: Example 18. Find the Fourier sine series in T:/3, for 0<x<T/3, f(x)= 0, for /3<x<2r/3, -7/3, for…

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Q: Determine the boundlessness and monotonicity of the sequence An 2n+1 Зп -2

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