For a given geometric sequence, the  8th  term,  a8 , is equal to  239 , and the  11th  term,  a11 , is equal to  69 . 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.

A:

Q: Find the next two numbers in the sequence below: 2, -6, 12, -20, 30, -42,

A: Solution-: We want to find the next two numbers in the sequence below: 2, -6, 12, -20, 30, -42,

Q: Find the sum 5 913 ... + 45

A: Given,

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: 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…

A: We try to find out a pattern which the sequence can be found

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: Calculus Question

A: The possibility that a flashlight should be angled on a ground such that the resulting shape of the…

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: In an arithmetic sequence, as = 3, a10 = 58, find a1.

A: We have given In an arithmetic sequence, a5 = 3, a10 = 58

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…

A:

Q: Write the first three pattern of the sequence whose nth term is given by the formula: 2n a. an = n+3…

A:

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, ...

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.