3 Choose terminates or repeats for each fraction 10/30 Terminates O Repeats 15/30 Terminates Repeats 7/30 Terminates ORepeats 4/30 Terminates Repeats

Q: 100 How many solutions to the equation E Xx=3 k =1 have the property that each summand X, is a…

A: Number of solutions: The number of non-negative integer solutions to the equation are . Given:

Q: Find the sequence of partial sums S1, S2, S3, S4, and S5.

A: Given sequence is We know that nth partial sum Sn is sum of first n  terms of the sequence.

Q: The sums of nth term of three arithmetical progression are S,,S, and S,.The first term of each is…

A: We will solve the problem

Q: Enter the number to complete the linear combination. gcd(57, 39) yields sequence: 57 39 18 30 18 57…

A:

Q: Find the sequence of partial sums S1, S2, S3, S4, and S5.

A: Given :                  1 + 1/2 + 1/4 + 1/6 + 1/8 + 1/10 To find :                 The sequence…

Q: (a) The nth term of a sequence is Un. The sequen

A: Introduction: 1: the sequence in which things are or should be linked, related, or dated Follow the…

Q: 4. Consider the sequence 8 1 {2(k+3 (2(k+3)) k=1 rewrite the sequence from j-5

A:

Q: The eight term of an AP is half uts second term and the eleventh term exceeds one third of its…

A:

Q: The number sequence a1, a2, a3, .... is defined by a1 = 8 a2 = 24 and recursion formula 4an + 1…

A: We need to show that an=5n-12n-2 for a1=8 and a2=24  The given recursion formula is…

Q: Sequence hWith frst tem 7, and las term 7/729.

A:

Q: 3. Use iteration to guess an explicit formula for the sequence that satisfies the recurrence…

A: We have to find the nth term of the sequence .

Q: 1 B. E 2n +1 2n +3 n=1

A: Solution of the above series is

Q: O List the first five terms of the sequence 2n +(-3)" }

A: The given sequence is: -1n+12n+-3n To find the first five-term of the sequence.

Q: For the series 3 + 6 + 12 + 24 +…, S11

A: Let us consider the geometric sequence  a,ar,ar2,....... n terms  where a is first term and r is…

Q: p,q,r are prime numbers such that p(p+q)=r-50 find the smallest sum p+q+r

A:

Q: What is DE? Enter your answer as a decimal in the box. units 12.6 + A E D B

A: The given triangle is: AD=DBCE=BE

Q: Find the number of terms of the series 5, 8, 11,... of which the sum is 1025

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Find the sequence of partial sums S1, S2, S3, S4, and S5.

A: Given: 1+12+14+16+18+110+.. To determine:  The sequence of partial sums S1, S2, S3, S4, and S5.

Q: Calculate a) 1 2/7 x (-2  2/3) ÷ 13/7 + 11/3  b)In a GP the 6th term is 972 and the 3rd term is 36.…

A: Part (a) Given expression is 127×-223137+113

Q: K = \

A: Given- ∑k=1∞1k56 To find- The value of above sum of first 5 terms.

Q: Find a closed form for the infinite arithmetic sequence given by the recurrence system:  x1 = -1,…

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.