If the series(-1)"a, is convergent and the seies is convergent then a, we said the series (-1)"a, is (a) conditionally convergent (b) absolutely convergent (c) None

Q: Determine whether the series is convergent or divergent. k2 k² - 4k + 7 k = 1 convergent divergent…

A: Given: ∑k=1∞k2k2-4k+7

Q: 1.JA.) Determine whether the geometric series is convergent or divergent. 5" Σ (-4)- O convergent O…

A: To find the solution

Q: Determine whether the geometric series 3 n = 1 convergent divergent If it is convergent, find its…

A: We will check for convergence of Geometric series (G. S.), If found convergent, then sum using stand…

Q: Determine whether the geometric series is convergent or divergent. 00 5 n = 1 convergent O divergent…

A: we have to test whether the given series is convergent or divergent

Q: Use the Root Test to determine the convergence or divergence of the series. 00 In n n=1

A:

Q: uppose a, and b, are series with positive terms and 6, is known to be convergent. (a) If a, > b, for…

A:

Q: 4 is a geometric series or not. If so, determine if the series Determine if (-3)" n=1 converges or…

A:

Q: (a) What does it mean to say that an infinite series converges absolutely? (b) What relationship…

A: Solution: (a) Absolutely Convergent: A series is absolutely convergent if the series converges and…

Q: 5* Find the interval of convergence of the geometric series (x – 4)**

A:

Q: Determine whether the geometric series is convergent or divergent. n- 1 convergent divergent If it…

A:

Q: Determine whether the geometric series is convergent or divergent. n=1 convergent divergent If it is…

A:

Q: (a) Express the general term ar (x) of the sequence in the power series form. (b) For what values of…

A:

Q: 20) ΣΚ 20) E, -3n° +1 n%=D1 n+2n+1

A:

Q: Determine whether the infinite geometric series is convergent or divergent. If it is convergent,…

A: Given: A. 1-1/3+1/9-1/27 .......

Q: 8) Determine whether the infinite geometric series is convergent or divergent. Explain your answer.…

A: Solution is in step 2.

Q: Find the radius of convergence, R, of the series. n²x" 3.6.9. ... (3n) n-1 R= Find the interval, I,…

A: R= limn→∞onan+1 then interval of convergence is x<R and check at the end point also

Q: nth digit of series

A: Given that an is the nth digit in the decimal expression of ½.

Q: 13) E n=1 n!

A:

Q: Find the radius of convergence, R, of the series. (x + 9)" Σ 9" In(n) Find the interval, I, of…

A: Given the series:

Q: (-1)* n' -1 3

A:

Q: 23 4-n+1

A: Given : ∑n=0∞3n4-n+1

Q: This question has several parts that must be completed sequentially. If you skip a part of the…

A: Solution is given below :

Q: ies20° ( - ) B. Find the interval of convergence of the power series 20 sum of the series as a…

A:

Q: Find an infinite series (using the geometric form technique) that represents 3. the fraction: 2-5x…

A: We have been given the fraction  f(x)=32-5x

Q: Determine whether the geometric series is convergent or divergent. (-6)-I O convergent O divergent…

A: Given, ∑n=1∞7n(-6)n-1

Q: Determinee whether the series (1+ i) ( 5 ) is convergent or divergent by com- i=1 paring it to an…

A:

Q: Suppose ana" converges at z = -3 and diverges at r = 6. Determine the intervals where the series…

A: Given, ∑anxn converges at x=-3 and diverges at x=6 So, the radius of the convergence, R is between…

Q: Determine whether the geometric series is convergent or divergent. 00 n = 1 convergent O divergent…

A: Given,                   ∑n=1∞ 5πnIt is convergent

Q: Find the sum of the convergent series.

A: Known fact: ∑n=0∞ xn=11-x   if  x<1.

Q: Determine whether the geometric series is convergent or divergent. 10" (-8) - 1 n- 1 convergent…

A:

Q: (1-(-1)" explain why you think the series En=1 converges to a finite number or diverges. If n+1 e…

A: According to Bartleby guidelines I can attempt only 1 question

Q: п-1)! Explain why you think the series E-1 converges to a finite number or diverges. If the (n+1)!…

A:

Q: Find the value of x for which the given geometric series converges. Also, find the sum of the…

A:

Q: Determine if the series is conditionally convergent, absolutely convergent, or divergent.

A:

Q: Determine whether the geometric series is convergent or divergent. 20(0.64)" - 1 n = 1 convergent…

A:

Q: Which statement about convergent infinite geometric series is true? O Convergent infinite geometric…

A: ∑ arn-1 = converge, |r| < 1 N=1     = diverge, |r| ≥1

Q: Determine the convergence or divergence of the series. (If you need to use ∞ or -∞, enter INFINITY…

A: Consider the given series

Q: er Une Converges, 1I SO its sum. If the series diverges, indicate that using the checkbox. NOTE:…

A: follow next step

Q: What happens if you add a finite number of terms to a divergent series or delete a finite number of…

A: Use the following facts 1) Sum of a finite number of terms is finite 2) If we add or subtract a…

Q: Use geometric series to convert 0.99999 to a rational number: 1. When expressed as a geometric…

A:

Q: true or false: If a finite number of terms are added to a convergent series, then the new series is…

A:

Q: 8. in n = 1

A:

Q: Determine whether the geometric series is convergent or divergent. 2 25(0.55)" - 1 n = 1 convergent…

A:

Q: 4) Find the interval of convergence for the power series and find an easy expression for the sum of…

A: Given series is ∑n=1∞-1n-1n2nxn

Q: Determine whether the geometric series converges or diverges. If it converges, find its sum. 2 + ...…

A: The geometric series ∑n=0∞arn converges to ar-1 series if r<1 Consider the given geometric…

Q: n2 1. Determine whether the series En=1 is convergent and explain why 2n++1 (In n)

A: We will use Ratio-Test to determine converge.

Q: Please help. Find the values of x for which the given geometric series converges. Also, find the sum…

A: (a)Consider the given geometric series:

Q: etermine whether the geometric series is conv 5+ 4 +- 16 64 25 O convergent O divergent it is…

A: Here we have,  The geometrical series is  S∞=5+4+165+6425+............

Q: Find the radius of convergence and interval of convergence of the series. (Enter your answer as an…

A: Given,∑n=1∞ 6n (x+5)nnLet the Given series be∑n=1∞an(x+5)nwhere an=6nnand an+1=6n+1n+1Now let R be…

Q: Determine whether the geometric series is convergent or divergent. 10 - 2 + 0.4 - 0.08 + ...…

A: To find the common ratio, one has to divide the second term by first term, that is r=-210=-0.2…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.