For a given geometric sequence, the  11th  term,  a11 , is equal to  4325 , and the  14th  term,  a14 , is equal to  215 . Find the value of the  17th  term,  a17 . If applicable, write your answer as a fraction.

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: The first term is 3500, and the common difference is 15. Which term of the sequence is 2795?

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Q: Sandy has a personal trainer who encourages her to get plenty of cardiovascular exercise. In her…

A: Let a_n denotes the number of minutes everyday on a trademil on n th week.In her first week of…

Q: Find the 28th term of an arithmetic sequence where the fourth term is 33 and the tenth term is 15.…

A: Find the common difference, d:

Q: th For a given arithmetic sequence, the 40 term, a, is equal to -324, and the 72n term, a,, is equal…

A: Arithmetic sequence: In an arithmetic sequence a1, a2, a3, ……, an, an+1, ……, the difference ai-ai-1…

Q: For a given geometric sequence, the 10 term, a is equal to 37 and the 14" term, a is equal to -74.…

A: Given,

Q: Find the 13th term of the arithmetic sequence 3x-11, -6, -3x-1, -6x + 4.

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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: Find the n th term of the arithmetic sequence whose initial term is a, and common difference is d.…

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Q: For a given arithmetic sequence, the 90 term, aon, is equal to 296, and the 6 term, a, is equal Find…

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

Q: 4. 2, 14, 36, 68, 110, .. 21 ·,18,- ,5, 2 3 55 -,39, ... 2 2 5.

A: The nth term of the sequence is pn^2+qn We have to find out p and q for the desired term.

Q: Give the 9th term of a sequence if the difference is -17 and the 8th term is 8442. 496.59 143,514…

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Q: Insert three numbers between 5 and 80 so as to give five numbers in a geometric sequence.

A: Geometric sequence means ratio of two consecutive number is same.

Q: Calculate the next term in the arithmetic sequence that increases by 90, if the current term is 78.

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Q: Write the formula for the nth term of the sequence: 2, 5, 8, 11, ...

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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.