4n +1 (a) 2n2 +3 n=0 5n2 – n+1

Q: 8. 2n+1

A: We will solve the problem using root test.

Q: (2n)! – (2n + 1)! (2n)!

A: It is required to find out , 2n! - 2n+1!2n!  For this we use factorial properties.

Q: So an = n 16 n+ 16 (n-1) 16 (n-1) + 16 = n - 16 n+ 16 I X 11 (n + 15) (n + 16)

A:

Q: 8n+5 II (1+i) = k=1

A: To find ∏k=18n+51+i:

Q: (2n)2k B2k 3(2k) = (-1)k-1 2(2k!)

A: We will use the knowledge of basic theory concerning the Riemann zeta function and the Bernoulli…

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: (2n + 1) Vn5 + 3 n=1

A:

Q: 00 (2n +1)" n2n n=1

A:

Q: 5+2-5+p 13) 3. 3) 28

A: Given: The equation 53p+23=5+p2p, To determine: The value of p,

Q: 3(n+7) =  blank + 21

A: We have to solve

Q: 7(z+2)=2(z+3)

A: 7(z+2)=2(z+3)7×z+7×2=2×z+2×3

Q: 2 + 4 + 6+ . . . + 2n = n(n + 1)

A: On solving this we will get

Q: For each of the following sequences, if the divergence test applies, either state that lim an does…

A:

Q: (1+5h-3h²)-(2h²+4h-7)

A: We will solve the following

Q: 5(n − 7) = 35 + 5n

A:

Q: 3(z+5)=12

A:

Q: (n³+7n² +14n +3) (n+2)

A: We have to solve above question and find quotient

Q: -- 6(- 2n – 10) + 4n = 5(n + 1)

A:

Q: 2(7)+8y=23

A:

Q: (-4)* 5k +1 k=1

A: We have to find if the series convergent or divergent.

Q: 2(n-3)+n(2-n)=2-n2

A:

Q: 5n2

A:

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

A:

Q: 3(2n-3)=5(n +3)

A: To find the number (unknown n) satisfying the given equation

Q: h (n) = 4n 1 - g(n) = n² - n Find (hg) (4n)

A: We have to find composite function