For a given geometric sequence, the common ratio, r, is equal to 5, and the 12th term, a₁2, Is equal to -23. Find the value of the 14th term, a14. 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: Given a geometric sequence with a2 = 3 and a5 = -81, find r and a9.

A: Explanation: a2=a1.r2-1           or   a5=a1.r5-1      3=a1.r1  ----1 -81=a1.r4   ----2Dividing…

Q: Find the indicated term for the geometric sequence with the first term, a1, and common ratio, r.…

A: Solution

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: For an arithmetic sequence, a27 = 85. If the common difference is 5, find: a1 = the sum of the first…

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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: 117 and a40 369, find the common difference of the sequence. Given a12

A: Given,a12=117a+11d=117................(1)anda40=369a+39d=369..................(2)This is AP.

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: For a given arithmetic sequence, the 38th term is equal to -156 and the 79th term is equal to -361.…

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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: 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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