What is the value of c in the arithmetic series 4 + b + c + d + e + . . . if the sum of the first 75 terms of the series 4332.

Q: In series A, the first term is 2, and the common ratio is 0.5. In series B, the first term is 3, and…

A: For the series A:                                  First Term is :=2                  Common…

Q: What is the value of d in the arithmetic series 8 +b + c + d + e +... if the sum of the first 87…

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Q: If the third term in the geometric series 2 ar" is 4 , then the product of the first five terms n =0…

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Q: Find the sum of the arithmetic series: 12 + 8 + 4 + ... + (-20).

A: Let's find.

Q: When the common ratio of q geometric series is 10, the sum is sometimes easier to compute because we…

A: 1+10+102+103+104+105 It is a geometric series with, a=1,  r=10  &  n=6

Q: Assuming the pattern continues, what is S₁2 for the series -8-15-22-29 -...? -565 -85 -510 O-558

A: Option d is correct.

Q: 4. There is a stack of logs in the backyard. 15 logs are in the first layer; 14, in the second; 13,…

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Q: What is the sum of the first 53 terms of the series 16 + 23 + 30 + --

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Q: What is the sum of the first 19 terms of the series 2 - 5 + 12.5 - 31.25 + ..

A: Given series is2-5+12.5-31.25+.... The sum of the first 19 terms of the series is determined as…

Q: What is the value of c in the arithmetic series 5 + b + c + d + e +.. if the sum of the first 80…

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Q: 2 Find the sum of the first 20 terms of the arithmetic series 6 + 3 +0 – 3 – 6 – ..

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Q: Using the first five terms of a sequence formed by (3n - 2), what series will be formed?

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Q: Find the sum of the first 35 terms of the series 6 + 11 + 16 + 21 +

A: Sum of the n terms of AP: S = n/2 (2a +(n-1)d) Here a = 6 , d = 5 , n = 35

Q: Calculate the sum of the infinite series S••=5-3+9/5-… •• means infinity symbol

A: Sum of infinite geometrical series with first term a and common ratio r is given as S = a/(1-r)

Q: Find the 30th term of the series 4,5,9,14, ...

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Q: What is the sum of the geometric series 4 2,341 256 525 64 2,343 256 3,069 256

A: To find: Sum of the series

Q: If you are going to fill up all the squares in a chessboard. By filling up the first square with…

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

Q: if the 8th term in an arithmatic series is 39 and the 20th term -33 what is the common difference

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Q: 14. 1+5+9+...+ 157

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Q: 4) The first term of an AP is 3 and the last term is 17. If the sum of all terms is 150, what is the…

A: see the attached image below

Q: 8, If the third term in the geometric series 2 ar" is 4, then the product of the first five terms n…

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Q: Find 21st term of series  12,16,18

A: n=21 tn=a+n-1d a=12, d=4 t21=12+204 t21=12+80

Q: What is the sum of the series 00 10 21 21 11 -7)

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Q: Consider the sequence {5,7.5,11.25,...}. What is the sum of the first 10 terms of the series? Round…

A: Sum of Geometric sequence The formula of the first n terms of a geometric sequence is Sn=a1(1-rn)1-r…

Q: 1111 -216 + 36 – 6+ 1., S.

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Q: Example 4. How many terms of the series 1, 6, 11, sum is 148, be taken so that their

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Q: . How would you classify the sequence 28, 21, 15, 10,6, B. Geometric Series A. Arithmetic Series D.…

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Q: Find out the number of terms (n) in the series below

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Q: Write the given series in 3-+- 3 +. 4 8

A: Given series forms infinite term of geometrical series

Q: Find the sum, if it existsof the Infinite geometric series S=21+9+3.86+

A: solution:- its geometric series because the common ration is same between the digits

Q: 1111 -216 + 36 - 6 + 1., S= 6.

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Q: What is the sum of the first 12 terms in the series shown beloW! 1.5 4.5 + 13.5 -40.5 +

A: Given sequence is: 1.5-4.5+13.5-40.5+...upto 12 termsTo find the sum of first 12 terms  The formula…

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: What is the sum of the first 80 terms of the series 10 +7+4+...

A: Given that: 10+7+4+...

Q: What is the sum of the first 14 terms of the series 9+2-5-12-19-...? O-25 O-98 O-511 O-518

A: The given series is 9+2-5-12-19-... This is arithmetic series, such that First term a=9 Common…

Q: Determine the number of terms n in each arithmetic series. 6 Σ (4- - 30

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Q: Find the sum of the 3rd through 14th terms of the series. A (n) = 4(3)"-1 Sum

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Q: If the arithmetic mean of two items of a series is 12.5.and G.M. is 10, what is the difference of…

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Q: Find the sum of the first 20 terms of the arithmetic series if a, = 5 and a,0 = 62 '20

A: The first term of the arithmetic series is a1=5 and 20th term of the series is a20=62. Evaluate d…

Q: Find the sum of the infinite geometric​ series, if it exists.   −12−4−4/3−4/9−

A: Explanation of the solution is given below...

Q: What is an infinite series?

A: Given: What is an infinite series?

Q: number

A: In the given question, the concept of series is applied. Series A series is created by a sequence,…

Q: A witness in a hit and run accident is interviewed for the plate number of the car.  The witness is…

A: Given: Number of letters in the number plate the witness can remember is, n(l)=2. Number of numbers…

Q: What is the closed-form expression for the series 2 (k+ 1)², k=1 13 n3 + B

A: First expand the squre  term and make it in standard format then use the formula of summation.

Q: what is the sum of the arithmetic series: all positive integers that are less than 30

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Q: How many terms are there in a series -64 -32 -16 -....-1÷32

A: Topic:- sequence and series