arithmetic series contains 17 terms. If the first term is 2 and the sum is -170, what is the common difference? Show your solution

Q: 10. Suppose you are given the sequence 625, 1875, 5625... Determine n where S = 6, 150, 625 72

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Q: Given the terms t8=21 and t17=75 in an arithmetic sequence, determine the value of the first term.

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Q: What is the equation for the sequence: -32. -27. -20, -11.....

A: We have to find the equation of the sequence, -32,-27,-20,-11,......

Q: The sum of three consecutive numbers is 85. What is the smallest number? Round your answer to one…

A: Let the smallest number be x According to question, x + (x+1) + (x+2) = 85

Q: Faith borrowed the sum of 24000 from promise with and arrangement to pay back in 24 annual…

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Q: Which is the next fraction in this sequence simplify my answer 1/88 1/44 1/22 1/11

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Q: 2. The third term of an arithmetic sequence is x and a, = 19x + 6. Find the twelfth term. 3. Php…

A: given

Q: 3.5n 7n+1 n=1

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Q: In an arithmetic sequence, a, = -3 and d = -5. What is a4?

A: The nth term of an arithmetic sequence is an=a+n-1d Here,  a= first termd= common difference Now,…

Q: 3. Consider the number sequence 1, 14, 51, 124, 245, 426, ... a. Find the next two terms of the…

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Q: Find the 7th term of the geometric sequence: -1, -4.5, -20.25,... Answer:

A: Consider the given geometric sequence,We can use the explicit formula :   where   is the nth term,…

Q: 2. Deborah's grandmother will give her an amount of money on every birthday, starting from her first…

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Q: What is the explicit formula for the sequence if at 8 am a hospital patient has 100 mg of a…

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Q: Find the 10th term of the arithmetic sequence in which a1=12 and d = 9.1.

A: It is given that, a1=12d=9.1   It is known that nth term of arithmetic sequence can be found  by…

Q: John deposited $3700 in an account that is compounded monthly for two years. He ends up with $4072.…

A: Given: John deposited $3700 in an account that is compounded monthly for two years. He ends upwith…

Q: In an arithmetic sequence, the first term is -8 and the sum of the first 20 terms is 790. a Find the…

A: Given data:- The first term is -8 The sum of first 20 terms is 790

Q: Find the sum of the geometric series. 40 - 2 +0.10 -... The sum of the series is (Simplify your…

A: Consider the given series. 40-2+0.10-… First, find the value of r. r=-240=-120 And, r=0.10-2=-120…

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A: Given: a90=296a6=44 To find the 34th term

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A: we have to write the general term for the geometric sequence 3, 6, 12, 24, 48, . . . . also we have…

Q: C. Determine whether the problem below is an example of a series or a sequence by writing SEQ or SER…

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Q: 31. Find the sum if it exists.

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Q: a1=5 and a6=-40 then find a8 term of the geometric sequence.

A: Given that,                                                            a1=5, a6=-40 we have to find…