47-54 . Evaluating a Sum Find the sum. -47. Σ 48. Σ 100 49. 50. Σ(-1γ j=1 12 51. Σ1 + (-1)] 52. Σ10 i=1 i=4 53. Σ 21 54. Σ12 k=1 i=1

Q: _26. What is the 7th term of the geometric sequence whose 1st term is 4 and r = - 3? [A] 32/729 [B]…

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Q: 2. Write the following sum and product in summation notation or product notation (using E or 11). Do…

A: Summation notation provides a compact way to represent the addends in sums. Likewise product…

Q: 7 Evaluate the sum i(3i + 2) i=1

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Q: 64 Find the sum of the series 9 + 12 + 16 + + 2621 218

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Q: Write the first five terms of the recursively defined sequence. 12 ak 2² a₁ = 4₁ ak + 1 Step 1 Note…

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Q: Expand and evaluate the sum:

A: Explanation: (a) Given that: ∑i=16(i2+1) Calculation: Write the series, For i=1⇒2For i=2⇒5For…

Q: * Express the sum using summation notation 6² 6² 6th Complete the sum of the sequence. 0 Σ 4 k=1

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Q: Find the sum or difference. x+2 - 2x+ 8 2x + 10 x+x- 20 O x-2 2(x+ 5) X* 4 O x+ 6 2(x+ 5)X* 4 O x+ 2…

A: The given expression is: x+22x+10--2x+8x2+x-20=x+22(x+5)--2x+8(x+5)(x-4)

Q: Find the sum. 1010101010101 1 101 101010101010110101 0101/11 1101010 11 1010.C.01010101 010…

A: NOTE: Refresh your page if you can't see any equations. . the series is

Q: Find the sum. 4 ) (5i +1) i=1 Select one: JI

A: Writing is as sum of 4 terms from i=1 to i=4; an = 5i+1   Sum = 5(1) + 1 + 5(2) + 1 + 5(3) + 1 +…

Q: Find the sum of the serles 75 (b) (a) (d) None of the above

A: Sum of the series

Q: n +4 The nth partial sum of the series En=1 an is given by n n - 5. Select the correct rule for a,or…

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Q: express each sum using summation notation.

A: To Determine:  express each sum using summation notation. Given: we have 13+23+33+43+.........83…

Q: Write the sum 59-2-56-3+53.450.5+... 14.17 in sigma notation so that the summation initiates with…

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Q: 4. Let n >1 be an integer. Consider the following expression 3 (3* – 212 + 2) – 2 (3* – 3k2 + 2) k=1…

A: Let's find.

Q: Find an equation of the diameter of circle x²+y²-6x+2y-15=0 which when produced passes through the…

A: Given, Equation of the circle x2 +y2 -6x+2y-15 =0  We have to find the equation of the diameter of…

Q: The sum of the series is 4k2-1 k-2 12 9. O None 11/7 -/3

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Q: Use the difference an+1 - an to show that the given sequence {a,} is strictly increasing or strictly…

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Q: n-1 Suppose a, = 4()"- Find the following sums. (Enter fractions with a diagonal bar. e.g. 5/7.) a)…

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Q: 8) Determine the exact value of the following sum. Show all work. * 3(-1)" 4n(n + 5) n=2

A: The answer is given as follows.

Q: 1) Consider the sequence defined as follows: so = 2, %3D 81 = 5, and for all n > 1, Sn+1 = 5sn –…

A: We will answer the first question and please resubmit the other question separately with complete…