Give the next three terms in the following sequence and find the equation which generates it. You must show how to do this by hand using finite differences. -5, -2, 3, 10, 19, 30, ..

Q: Find the sum of the first eight terms of the sequence 18, -14, 12

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Q: Shelley and Stacy own houses. Shelley is told that her $45,000 house will decrease by 8% a year.…

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Q: Write the general formula of a sequence if the 5th term is -32 and the 20th term is 103. (Note: do…

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Q: How.2Find the function formula of theballawing Sequencer:-

A: For (1), Given: So, the above can be written by the function f(x) = 4x-2 for x=1, 2, 3, ... .

Q: Write t15 for the sequence − 3,−6,−12,−24,...

A: Given sequence is -3,-6,-12,-24...   The general term of a geometric sequence with first term a1a1…

Q: In a GP the 8th term is 384 and the 3rd term is 12. Find the sum of the first 10 terms

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Q: Complete the next two equations of this sequence: 1=1 1-4+-3 1-4+9=6 1-4+9-16=-10

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Q: Find the pattern and give the next three terms in the sequence: 2, 6, 11, 17, 24... Hint: How do you…

A: The given sequence is 2, 6, 11, 17, 24... Observe the patterns as follows. 2    -    2 6    -    2+4…

Q: Continue the two sequences of numbers below and find an equation to each of the sequences 1 2 3 4 5…

A: 1. In first. 1+1=2 2+3=5 5+4=9 9+5=14 14+6=20 20+7=27 Hence the eqution is  an=an-1+n

Q: what is the 20th term in the sequence 0. 5,.1,.2,.4

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

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Q: A sequence has nth term given by an = 5n – 2, find the value of n for which an = 153. A sequence has…

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Q: What is the formula of the sequence -6,-3,-2,-3/2,-6/5...

A: The sequence is -6,-3,-2,-3/2,-6/5...

Q: Find the 60th term of the sequence 5, -2,-9,-16,... O a-478 O b.non of them

A: Here given as 5, -2, -9, -16, ...... The first term of sequence is a1=5, Also the common difference…

Q: Graph both the sequence of terms a (sn) 15F 1.5H

A: We will calculate the term of the series and then the partial sum. Please see the table below: an =…

Q: Find the next term of the sequence: 8, 5, 2, -1, -4,

A: Explanation: Here given that a sequence: 8, 5, 2, -1, -4, ...

Q: Determine the pattern or sequence. Then, define the relationship: 3,7,13,21,...

A: Solve the following

Q: Find the t15 of the sequence 2, 11, 20,.... is it 75, 110, 119, or 128 and why?

A: Formula  tn = a+(n-1) d Where  d = common difference of any pair of consecutive or adjacent numbers

Q: Find the geometric progression if the 5th term is 12 and the 8th term is 324.what is the sum to…

A: Let the geometric progression is a, ar, ar2, ar3, ar4, ar5, .... Given the 5th term is 12 That is…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.