If the 3rd term of a geometric progression is 52 and the 7th term is 832, then find the 16th term of this GP. Show all steps.

Q: The seventh term of an arithmetic progression is 11 and the sixteenth term is 29. Find: the common…

A: Given seventh term of A.P=11 Sixteenth term of A.P=29 We know that nth term of A.P (an)= a+(n-1)d…

Q: In an Arithmetic Progression the 8th term plus the 4th term equals the 13th term. If the 18th term…

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Q: The 4th term of a geometric progression is 2/3 and the seventh is 16/81.Find the geometric series

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Q: The sum of the terms of an infinite geometric progression is 35 and the common ratio 1S What is the…

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Q: There are 7 terms in a geometric progression such that the first term is 4 while the fourth term is…

A: Given, There are 7 terms in a geometric progression First-term of geometric progression = a= 4…

Q: Find the first five terms of the arithmetic progression whose fourth and eleventh terms are 30 and…

A: Given the fourth and eleventh terms of an arithmetic progression is 30 and 107

Q: In an Arithmetic Progression the 17th term is 3 times the 6 th term. If the 11 th term is 63, what…

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Q: If the 5th term of a geometric progression is 224 and the 9th term is 3584, then find the 13th term…

A: a5=224⇒ar4=224a9=3584⇒ar8=3584a9a5=ar8ar4=3584224=16r4=16r=2ar4=224a16=224a=22416=14a13=ar12=14×212=…

Q: find the sum of the first 15th terms in the given progression of 1/2,1/4, 1/6……… (complete…

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Q: The sum of first six terms of an arithmetic progression is 42.The ratio of its 10th term to its 30th…

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Q: is 28 and the 7th term is 448, then find the 9th term of this GP. Show all steps.

A: Introduction: A geometric progression is a sort of progression in which each term has a fixed ratio…

Q: "If the second term of a geometric progression is 6 and the fourth term is 54, how many terms must…

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Q: Find the 8th term of the geometric sequence 6, 18, 54, ...

A: A sequence is a function with domain being the set of natural numbers and the range being the set of…

Q: A 62 metre length of rope is cut into pieces whose lengths are in arithmetic progression witha…

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Q: The 4th term of a geometric progression is and the seventh 16 term is 81 20 find the geometric…

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Q: The first term of a geometric progression is 40 and the fourth term is 5. Find the sum to infinity…

A: We have to find sum of infinity of the geometric progression if first term of a progression is 40…

Q: Find the seventh term of the arithmetic progression x, x+y, x+2y,....

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Q: The 4 term of a geometric progression is 2 and the seventh is 16 Find the geometric series 18 |

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Q: 2) Find the 10th and 20th terms of the geometric progression with first term 3 and common ratio 2.

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Q: The first term and the last term of an arithemetic progression are 17 and 350  respectively . If the…

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Q: The product of the first three terms of a geometric progression is 3375, and their sum is 65. Find…

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Q: Find the 7 term of the geometric sequence:

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Q: The sum of the terms of an infinite geometric progression is 35 and the common ratio What is the…

A: S∞=35r=25a=?

Q: The second term of a geometric progression is 2 3 and the fourth term is 1 54 . If all the terms are…

A: We know that a geometric progression is given as: a+ar+ar2+ar3+ar4... where 'a' is the first term…

Q: An arithmetic progression has the first term of 32, the 5th term of 22 and the last term of −28.…

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Q: In an arithmetic progression the 17th term is 3 times the 6t term. If the 11th term is 63, what us…

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Q: What is the 8th term of geometric progression if the 4th term is 189 and the sixth term is 1701?

A: In geometric progression, terms are obtained by multiplying the previous term with the same number,…

Q: Find the 20 term of a geometric progression 1,2, 4, ...

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Q: Given the first three terms of an arithmetic progression as 2x, x+4 and 2x-6 respectively. Find the…

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Q: If the 3rd term of a geometric progression is 28 and the 7th term is 448, then find the 9th term of…

A: Use the formula for the nth term of a Geometric Progression (GP).

Q: Find the sum of the first 12 terms of an arithmetic progression whose 7th term is 5/3 and with a…

A: General terms  of  an A.P. is  = a ,  a+d , a+2d , a+3d ,a+4d , a+5d , a+6d  and so on ...... Where…

Q: If the fourth term of a geometric progression is -4 and the fifth term is 8​, find a1 and r.

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Q: Find four numbers that form a geometric progression such that the second term is less than the first…

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Q: The ratio of the 8th and 3rd term of a GP is 243. What is the common ratio of the progression?

A: Given, The ratio of the 8th and 3rd term of a GP is 243.

Q: the first term and the second term of a progression are a and b respectively. what is the third term…

A: As we know that expression of the nth term of the Geometric progression is: an=arn-1 Where 'a' is…

Q: (b) The nth term of a geometric progression is given by T, Find the sum of first four terms.

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Q: Which term in this sequence would first exceed or equal 32,000?  What is the sum from the 1st term…

A: Given GP - 3100, 4247 ......4247 is the term which will exceed the 3200.Hence, only one term 4247…

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…

Q: (a) The 1st term of a geometric progression is 4 and the 6th term is 128. Determine the 8th and 11th…

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Q: Find the 7 term of the geometric sequence whose common ratio is and whose first term is 4. 00

A: A sequence is a function with domain being set of natural numbers and the range being the set of…

Q: If the fifth term of a geometric sequence is 64/27 and the sixth term is 256/81 , find the sum of…

A: Let the G.P. is a, ar, ar2, ar3, . . .arn-1 Sum of first n terms is given by, Sn=a(rn-1)r-1, r>1…

Q: It is given the first three terms of a geometric progression are 1/5 , 1/25 and 1/125. Find the sum…

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Q: The sum of first 6 terms of an arithemetic progression is 42 the ratio of its 10th term to its 30th…

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Q: If 7, 9. 8 and 1, are added, respectively, to the four terms of a geometric progression; the…

A: Let the geometric progression is a, ar, ar2, ar3 Then add 7, 9, 8, 1 in the above terms…

Q: Find four numbers that form a geometric progression such that the third term is greater than the…

A: Solving by geometric progressions we have

Q: The first three terms of an arithmetic progression are h - 2, 5k - 1, 2h + k, ... Express k in terms…

A: Given that the first three terms of an arithmetic progression are h - 2, 5k - 1, 2h + k, ... . we…

Q: Find the 10th term of the geometric sequence whose common ratio is and whose first term is 6 2

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Q: Find the 57th term of an arithmetic progression when the 1st  term -18 and the common difference is…

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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.