1-) Qu+2-3Qu+1+2Qu=5     Q0=1 Q1=1 find the rule of series

Q: What are the all composition series of Z45?

A: What are the all composition series of Z45?

Q: 6. Find the power series solution of ху" - у%3D0

A: The power series solution of differential equation is

Q: 2 Find the first five terms of a power series for 4 - 3x

A:

Q: 8.8.8.   Use a known Taylor series to conjecture the value of the limit.

A: We simply plug in the Taylor series for the sinx.Formula used:

Q: Find the sum of the series if possible: 2k 1 k 1 3k 2

A:

Q: 8. Determine if the series diverg (-1)" a) /2n2-2 n=0 |

A:

Q: Use power series to show that 1 1 1 e =- + 0! +...** 2! 3! 4! 5! 6! 117

A:

Q: Find the sum of the power series ∑ n=0 inf.    ((-1)n /(2n+1)!)*x6n+5

A:

Q: Find sum of series 9/(4n-3)(4n+3)

A: The given series is 9(4n-3)(4n+3) We have to find the sum of the series. That is…

Q: The sum of the series (-k+1) is -- k-2 8. 3 O 4 4 6. O None. 21

A:

Q: Find the sum of the series.

A:

Q: Find sum of series 4/(3n-1)(3n+1)

A: ∑1N4(3n-1)(3n+1)

Q: Find the sum of the series. 5(-1)^²n +1 Σ 62n + 1(2n + 1)! n = 0 62n +

A: The sum is evaluated below.

Q: 6. If a series Eu, converges to the sum u then so does any series obtained from Eu, by rouping the…

A:

Q: what series is this?  ln (5/4) + ln (6/5) + ln (7/6) + ln (8/7) and should I do to know if it's…

A:

Q: Discuss the idea of power series method and prove that y`=2xy

A:

Q: 6. If a series Eu, converges to the sum u then so does any series obtained from Lu,, by grouping the…

A:

Q: Express as the sum of a power series: (5z + 6)(6z + 6) (3)"] 1/7 17

A: Using partial fractions:  x5x+66x+6=15x+6-16x+6                            =1/61--56x-1/61--x…

Q: expand 1/(1+x)^1/4 as a power series

A:

Q: Express the series using sigma notation 5-10 + 20-40+80 °5(-2)-¹ 21 -2n-5 7-1 0-5(-2)-1 -2(5)-¹ 7-1…

A: Infinite series

Q: How many terms of the series 00 (-46)" 1+2" are needed to compute the sum of the series with an…

A: Given: A series ∑n=1∞-46n1+2n. To find: Number of terms needed to compute the sum of series with an…

Q: Find Launat series nepatateton 2 <2K3. 2(2-2) (2-3)

A: Given function is fz=1zz-2z-3 and region 2&lt;z&lt;3.  1-a-1=1+a+a2+a3+a4+----

Q: 2. Find the number of terms in the series + 8 -12 +18 - .. -307.546875

A: The given series is +8-12+18-.....-307.546875

Q: Find the 12th term in the series 6,3,2

A: Given series 6,3,2,... The main objective is to find the 12th term in the series.

Q: Prove that the sum of the series 1/2 , 1/4, 1/8, 1/16 .........to infinity

A:

Q: )  Suppose that ∞     n = 1an = 1, that ∞     n = 1bn = −1, that a1 = 2,

A:

Q: Find power series:

A:

Q: Question 8 Find the sum of the series Σπο 32n+(-2) 10"

A:

Q: Find 51 term of series 4,8,12,16..

A: The given sequence is 4,8,12,16... To find 51th term

Q: ables that satisfies the discrimination conditions considering these variables.(tımes series in…

A: It is an important part of statistics. It is widely used.

Q: Find the sum of the series. Σ 62n + 1, 5(-1)^72n + 1 1(2n + 1)! n = 0 8

A: According to the given information, it is required to determine the sum of series.

Q: 2. Determine whether the geometric series is conm find its sum. 16 64 (a) 3-4+ 3 9.

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Find Mac laitrent series for 2

A:

Q: 23) How many terms of the series -3+2+7+... must be added for the sum of the series to be 116?

A: The given series,    -3+2+7+......

Q: Find 81 term of series 41,43,45...

A: As we know that; The expression for the nth term of the arithmetic sequence is: Tn=a+n-1d Where, a…

Q: aclaurin series, ollowing infinit-

A:

Q: Express the sum of the power series in terms of geometric series. x + x2 − x3 − x4 + x5 + x6 − x7 −…

A:

Q: Find Launet series nepubatetion of 2 <ZK3 . %3D 2(2-2) (2-3)

A: To find the Laurent series representation of  fz=1zz-2z-3 in the region 2&lt;|z|&lt;3 first, we…

Q: Find the sum of the series (In 2)2 (In 3)3 1– In 2+ 3! +.. 2!

A:

Q: The sum of the series (-1)" (37)2n+1 - is 22n+1 (2n + 1)! n=1

A:

Q: 8. Use a known series to find the exact sum of each series. (-1)"72n+1 '(2n +1)! 2. 4 8 + b) 1 2"…

A:

Q: 8. The series 133n en is and ---- n2 + 1 n = 0

A: The given series is 133nen/(n2+1).

Q: 3. Find the sum of the series 2 3 5 6 1 π 1 7 1 (-)-(3) - 2 (² + 1 (3) - () -- () - () +- ... 2! 3…

A:

Q: 4. Find the x3 term of the power series X for the product of these power series Ex4 (A + Bx + Cx² +…

A:

Q: evaluate the geometric series 1-2+4-8, ..., n=8

A: The given geometric series is 1-2+4-8,,,,,, n=8

Q: Determine whether the series Σ is k+4

A: we have to determine whether the given series is convergent or divergent using Kth - term…

Q: 11. Find 4he sum of the infin1te series geom. 2-1 + Ya – 4 +

A: Given, The infinite  geometric series  2-1+12-14+......  We have to find the sum of series.

Q: -2 2 ntl nt2 n=2

A: Given

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.