Algebra

1)Find the sum of the infinite geometric series: 1 + 3/5 + 9/25 + ..., if it exists.

A)5/3
B)5/2
C)3/5
D)does not exist
I chose B

(3/5)/1 = .6
S = a1/1-r
1/1-.6
2.5

2)Use the Binomial Theorem to find the sixth term in the expansion of (m+2p)^7.

A)21m^2p^5
B)672m^2p^5
C)32m^2p^5
D)448mp^6

7/(7-k)!k!^m7-kpk
7/(7-5)!5!^m7-5p5
7*6*5*4*3/5*4*3*2*1^m2p5
2520/120
21m^2p^5

3)How many four-digit numerical codes can be created if no digit may be repeated?

A)10,000
B)24
C)3024
D)5040
I chose A

10*10*10*10
10,000

  1. 👍
  2. 👎
  3. 👁
  1. #2 You forgot that 2 is also raised to the fifth.
    C(7,5)(m^2)(2p(^5
    = 21(2^5)m^2p^5
    =672m^2p^5

    #3. Digits may NOT be repeated, and probably cannot start with a zero.

    so 9x9x8x7 = 4536, which is none of their choices.

    if zeros would be allowed in the first position, then the answer would be
    1-x9x8x7 = 5040 which is choice D

    your choice A would include zeros, and repeating digits, even 0000,and 6666.

    I would guess that D is the choice they are after.

    #1 is ok

    1. 👍
    2. 👎
  2. typo in "1-x9x8x7 = 5040 which is choice D "

    should say:
    10x9x8x7 = 5040 which is choice D

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. sum geometric series

    what is the sum of geometric infinite series 3/2+ 9/16+ 27/128+ 81/1024=.... i know the formula is S=a/(1-r) my teacher, he usually transforms into a formula of the sum series and finds out a and r.but i don't how to do that. the

  2. Math

    Determine whether the infinite geometric series converges. If so, find the sum 1/4+1/16+1/64+1/256....

  3. Math

    Does the following infinite geometric series diverge or converge? Explain. 3 + 9 + 27 + 81 + . . . A) It diverges; it does not have a sum. B) It converges; it has a sum.*** C) It diverges; it has a sum. D) It converges; it does

  4. Math

    Does the following infinite geometric series diverge or converge? Explain. 1/7+1/28+1/112+1/448 A) It converges; it has a sum.*** B) It diverges; it does not have a sum. C) It diverges; it has a sum. D) It converges; it does not

  1. Math

    which of the following is true statement ? a. a finite series has no sum b. any finite series has a sum c. some infinite arithmetic series have a sum d. all infinite arithmetic series have a sum

  2. math(geometric series)

    the common ratio of the infinite geometric series whose 2nd term is 3/2 and its sum is 8?

  3. Math

    Does the following infinite geometric series diverge or converge? Explain. 1/5 + 1/25 + 1/125 + 1/625 A) It diverges; it has a sum. B) It converges; it has a sum. C) It diverges; it does not have a sum. D) It converges; it does

  4. Algebra 2

    Describe an infinite geometric series with a beginning value of 2 that converges to 10. What are the first four terms of the sequence? a{1} = first term of series ∞ Infinite Sum = ∑ a{1} • r^(n – 1) = a{1} ⁄ (1 – r)

  1. Calculus

    Find the sum, if it exists, of the infinite geometric series, 3 plus 3 over 5 plus 3 over 25 plus 3 over 125 plus etc . (4 points) I got c ( 15/4 ) is this right? Please check. A) 1 B) 1 over 5 C) 15 over 4 D) Sum does not exist

  2. math

    Consider two infinite geometric series. The first has leading term $a,$ common ratio $b,$ and sum $S.$ The second has a leading term $b,$ common ratio $a,$ and sum $1/S.$ Find the value of $a+b.$

  3. algebra

    consider the infinite geometric series n=1 -4(1/3)^n-1 . i need help with writing the first four terms of the series and finding the sum if it has a sum.

  4. Math

    1. Find the 11th term of the geometric sequence 64, -32, 16, -8, … . 2. Find the 1st term of a geometric sequence with a 10th term -1024 and r = -2. 3. Find the sum of each infinite geometric series, if possible. a. 10 + 2 + 2/5

You can view more similar questions or ask a new question.