1. If 5 then n= 30.

Q: 73. an = (2n + 3n)¹/n, 3≤an ≤ (2.3n)¹/n = 2¹/n.3

A:

Q: 3. Evaluate |(n + 1)! – (n + 2)!|, where n E N.

A: To evaluate n+1!-n+2!, n∈N.

Q: п(n + 1)(n + 2) 4. If n e N, then 1.2+2.3+3·4+4·5+...+n(n +1) = 3

A:

Q: 11. If an+1 = 2an + 3 and ao = 1, then a7 = O 513 O 509 O 487 496

A: We will find a7.

Q: Q: On how many nights may a watch of 4 men be arranged by a security ag ency from a crew of 16 so…

A: Given:       Number of nights in which no two nights have same group of 4 men…

Q: 9. Eric has two dozen carrot cookies. She will eat three cookies on Sunday. On every day that…

A: Total number of cookies Eric have: 2 dozen T=2×12T=24 As given that she will eat three cookies on…

Q: Q.7) In a party 25 people shake hands to each other (only once). How many n(n-1) handshakes will…

A: Given that  Number of people shake hands each other=25 To find  Number of shake hands will occur.

Q: . Show that n! > 3ª for n> 7.

A:

Q: 10

A:

Q: 5. If = 10 a + b then If then x = 15 10

A: 89=x15

Q: 27. How many 3-digit odd numbers can be formed from 0, 1, 2, and 4 if the digits cannot be repeated?…

A: To find- How many 3-digit odd numbers can be formed from 0, 1,2, and 4 if the digits cannot be…

Q: If p = 0.80 then q = 0.20. O True O False

A: Solution:- As we know that total probability is always 1 Here p =0.80 and other event is q

Q: Find - if n = 500 ? n ΣL in- ulp Select one: O 2.184 8.736 O 0.312 O 0.744 O None of these

A:

Q: In the Powerball Lottery, 5 different numbers from 1 to 69 are selected. The order they’re selected…

A: There are  different numbers from  to  that are selected in the Powerball lottery having the order…

Q: Is it required for the "n" to be there, or can I just say G1 = 2001?

A: As we see from previous answer

Q: 8. What is the next three terms of 48, 24, 12, 6, 3, ...*

A: The given number series is 48, 24, 12, 6, 3, .....

Q: An ATM machine runs at the  rate  of 18 an hour  The service  transaction rate is  12  customers…

A:

Q: 11. e ²t, te-2t

A:

Q: A new company John’s Recruitment Hub was recently established. In the first month, it was able to…

A: There are 12 months in a year. Set up a recurrence relation and use the recurrence relation to…

Q: If S = 1+2+4+ 8+ 16+ 32 + 64 + ... + 1024, then S = 2" – 1 where n =

A: Given: ∑r=0602r=2n-1 S=1+2+4+8+16+32+64+...+1024 Then S=2n-1

Q: H X+6 G O x=2 O x = 4 0 x = 1 O x = 10 2 H A

A: Topic:- geometry

Q: 55. In +C = In +C

A: We have to verify that: lnxx2-1-1x2-1+C=lnx-1x2-1+C Here, C is an arbitrary constant.

Q: q.3

A: