Given the nth partial sum, find a1, an; and £am. n+2 21. Sn = n+3 an E an ||

Q: 2(7-3x) =1/4

A: The equation is, 27-3x=14 Solve for x as, 27-3x=12227-3x=2-27-3x=-23x=7+23x=9x=93x=3

Q: f 4[ k - 0.4(2k - 1) ] = 0.5k + 2.9, then k =

A:

Q: 3(2x+7)≥36

A: We have to solve enequlity equations

Q: (2x) y (2x+4) (3y+8) 7. mZP = mZR = %3D R.

A: Some Properties of Cyclic Quadrilateral In a cyclic quadrilateral, all the four vertices of the…

Q: 8(a+9) =

A: Given,           8(a + 9)

Q: Evaluate 10s? – 5 - L-1 2 (s² + 1)(s² + 3)²

A:

Q: Find : (a) 4xSy³ + 2x?y-y-2x-4 0. %3D

A: Basic identities of differentiation is used along with the chain rule

Q: Solve for n if P(n,5)=120C(n,3)

A: The objective is to calculate the value of n, for which the following equation is…

Q: 2(-ャ) n=2

A:

Q: 68. (t + 4)(t + 4)(t - 4)(t - 4)

A: We will use here the property a2-b2=(a+b)(a-b)

Q: If (n, 15) = 1 and o(n) = 56, find o (75n).

A: Given: n, 15=1 and σn=56.To find: σ75n

Q: solve for z 15=9+3/(4+z)

A:

Q: 3(n+7) =  blank + 21

A: We have to solve

Q: Find the solution for 3/4 - (-6/12)

A:

Q: find -1 2 5+1 s(5+1)²

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Q: 4 (-1)*- k² k=2 3k II

A: Simplify the product as follows. ∏k=24-1k×k23k3=-12×22323-13×32333-14×42343

Q: how to evaluate 0.1m + 8 - 12n when m=30 and n=1/4

A: From the given information, the expression is 0.1m + 8 – 12n.

Q: 2Fn>Fn+1 for n>3 true or false?

A: Given,       2Fn>Fn+1 for n>3

Q: Pk=7/k(k+6) Pk+1= ?

A: Given  By replacing k by k+1, we get

Q: 3 S x²_9

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Q: 6(-3w+1/3)

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Q: 3sin(2x−6)=1

A:

Q: 2x = 5 in Z15

A: We have given equation  2x=5  in z15 x=52 x=2.5

Q: η Σ (1) 5 k=1 k odd = 6" - (-4)" 2

A: Here we prove that ∑k=1k oddnnk5k=6n--4n2

Q: 2(15 + q)= blank + 2q

A: 2(15+q) =____________+2q Here we are suppose to find the value of blank.

Q: 2. (X +m)²

A: This is a improper integral. Here we use the limit to solve the integration.

Q: n: n(10P₂) = 10 C8.

A: Explanation of the answer is as follows

Q: 6 ³ / ( 2 / +72+4) dz x6 Find + C

A: We need to calculate the value of integral∫6x6+7x+4dx

Q: lim x→n x²_n² x-n = 10

A: