n=3 (−1)n+1 22n+1

Q: 8. 2n+1

A: We will solve the problem using root test.

Q: 2 n² + 2n Ε

A:

Q: 4. 7- (8n – 18) = 14 – 10(2n – 3) %3D 2

A: We have to simplify the given expression.

Q: { :Find the first 3 terms for 2n-1 (2n-1)! (−1)n+¹

A: given sequence  -1n+1x2n-12n-1!

Q: Solve by Mathematical Incluction that all n2l.

A:

Q: (- 1)"(品 2n +1

A:

Q: n + 3n

A:

Q: (-5)2 n (b) En-1 n²,97n 00

A: Part b,

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

A:

Q: (-1)n+13n (b) n5n n=1

A:

Q: 2(4?−12)=3(−2?−8)

A: Explanation and solutions is given below....

Q: Consider the following expression -4n2+6n-3. What is the coefficient of the n2 term?

A: -4n2+6n-3 we have to find the coefficient of the n2 term

Q: S0³ (0+2) de -3

A: ∫θ-3θ+22dθ

Q: 2 213 + 8k² + 6k k=1

A: 5/24

Q: x? + 13x – 48 = (x – 3)(x 6. x? + 17xy – 60y? = (x + 20y)(x.

A: Given, x2+13x-48

Q: Tp = Ppq n N-n 1-7

A: We have to prove the following formula:

Q: The remainder when (13)" + (17)" is divided by 229 is Ob 2 Oe None Od 1 Oe 3

A: Given that  1370+1770 is divided by 229. To find the remainder we shall use the fact: Any number of…

Q: n+1 n+3 n+ム ニ

A: To find the value of above infinite series first we will check the convergence of given series using…

Q: In

A: it is the telescopic sum

Q: 2 3n n=1

A:

Q: 11 7 Find Y 12 2r₁²³² + y² = 4 2

A: here is the solution

Q: 4)3√2 +(12) 5√64

A: We have to find the value

Q: (n³+7n² +14n +3) (n+2)

A: We have to solve above question and find quotient

Q: Evaluate (",) for n = 48.

A: Combination formula : nCr = n!/(n-r)!r!

Q: 5n (f) n10 n=1

A:

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

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

Q: (b) P₂(−1) = (−1)n-1n(n+1) 2

A:

Q: N k=1 (4k+1) (4k + 1) = 324

A:

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

A: Given,       2Fn>Fn+1 for n>3

Q: -n 2n+5

A: We have given a series.

Q: n + 2 < −2

A: Given n+2&lt;-2

Q: (x – 1)² 2b + bx b + C then the value of b is 3

A:

Q: Assume that Vxdy P (x, y) is false and that the domalh nonempty. Which of the following must also be…

A:

Q: 6 1/3 − 2 3/4 Express answer as a reduced mixed number.

A: