[MO22] Express as a single power series form: 00 (3n+2)an-1(x + 2)n+3 - Σ(5n - 2) an(x + 2)n-1 n=-1 n=3 Simplify your answer.

Q: %3D Consider 2 n(n – 1) c, x" 2 +¤ £ o Cn x" We wish to combine the left hand side of the equation…

A: A power series is a series having an infinite number of terms in powers of x. Using power series,…

Q: 3. The United States population grows at a rate of 0.5% a year. We have around 328.2 million. What…

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Q: 3η2 + 4. n 1 Σ(5)

A: Given series is

Q: Express the sum 3e4 + 3e9 + 3e16 + 4e4 + 4e9 + 4e16 usingdouble-summation notation.

A: Given: 3e4 + 3e9 + 3e16 + 4e4 + 4e9 + 4e16 We can write it as,…

Q: Consider the sum (3)2 + (8)² + (13)2 + +(15n-2)2: ... (a) Write the sum in sigma notation.

A: Consider the sum  (3)2+82+132+.....................+(15n-2)2

Q: Find the sum of each series

A: Given series is

Q: nd the following sum: 2 + 4 + 6 + 8 + ... + 88 using Gauss' method. Show all ste

A: To find the below sum using the Gauss' method. 2+4+6+8+...+88

Q: Why did you take the natural log in the series above

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Q: Find the numerical value of the following expression by finding the pattern. Without using the…

A: This is problem is solved  by finding the pattern of the expression

Q: What is the summation from n = 1 to infinity, of  (3n+1) / (5n + 4) ?

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Q: 2 Rewrite the sum using sigma notation: 2/3 + + a 16 +25 516 26 + 10 61

A: Given query is to rewrite using Sigma notation.

Q: Write the binomial expansion for (x+3)°. ..... (x + 3)° =D

A: Solution...

Q: Find the values of a and n

A: Step 1: Step 2: Step 3: Step 4:

Q: Rewrite 1/2(x-5) +1/4(x-5)2 +1/6(x-5)3  +1/8(x-5)4 using summation notation.

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Q: Starting in the year 2012, the number of speeding tickets issued each year in Middletown is…

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Q: Find the sum of 1/7 + 3/7 + 32/7 + 32 /7 + ⋅⋅⋅ + (3)n-1 / 7

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Q: 3 Find (- 3)'-1 i=1

A: Given : ∑i=13-3i-1

Q: v1 = 0.7 vn = 3vn-1 - 0.3 a.  identify the formula as recursive or explicit b.  find the first…

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Q: 3/n-1/2=n-5/n

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Q: 6. E(1 – 5i) Find - i= 3 First write out the summation: Find the answer:

A: We have given a equation in the summation sign we have to calculate the final value.

Q: 12 Find the power of x in that term of the expansion of 2+ 2 which has the greatest numerical…

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Q: Consider the binomial expansion of (a + x)²0 where a is a rational number. (a) (b) Write down the…

A: NOTE: Refresh your page if you can't see any equations..The binomial theorem is given by,here we…

Q: paper 2 4. INDICES AND S 2007 N Q3 (i) Express 9x+1 as a power of 3. (ii) Express V272 as a power of…

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Q: 3* 1. Calculate the sum (k – 1)! k=4

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Q: Approximate (1.2)10 by using the first three terms in the expansion of (1 + 0.2)10, and compare your…

A: Binomial expansion is the method of expanding an expression that is raised to some power. As the…

Q: In step 3, how does (x+1)x! become (x+1)! in the denominator of the summation?

A: x!=x(x−1)(x−2)..........(2)(1)..................formula…

Q: 6n-3 Find the sum of the series: Σ n!

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Q: X/n where n ={1,2,3,4,5,6, } find the smallest X so that you will get remainder n-1 ....

A: To find the smallest X which when divided by a set of numbers n will yield a particular remainder,…