Geometric progression + expression of a variable from the formula - practice problems
Number of problems found: 68
- The 8th
The 8th term of GP is greater than the 5th term, and the 10th term is 10 times the 2nd term find: 1) the common ratio 2) 20th term - Calculate 81860
The two terms of the geometric sequence are a2=12 and a5=three halves. a) calculate the tenth term of the sequence. b) calculate the sum of the first 8 terms of the sequence. v) how many first terms of the sequence need to be added so that the sum is equa - Difference 81849
Determine four numbers so that the first three form the successive three terms of an arithmetic sequence with difference d=-3 and the last three form the next terms of a geometric sequence with quotient q=one half. - Descending 81797
The sum of the first two terms of the descending geometric sequence is five quarters, and the sum of the infinite geometric series formed from it is nine quarters. Write the first three terms of the geometric sequence.
- Determine 81794
Determine the quotient of the geometric sequence with the first term a1=36 so that s2 is less than or equal to 252. - The sum 27
The sum of a geometric progression's second and third terms is six times the fourth term. Find the two possible values of the common ratio. - GEOMETRIC MEANS alternating
Find the indicated number of geometric means between the pair of numbers. -32 and 4 [insert 2 means] Sequence:-32, _, _, 4 - FINDING GEOMETRIC MEANS
Find the indicated number of geometric means between the pair of numbers. 16 and 81 [insert 3 members: 16, _, _, _, 81] - The terms
The terms 1/64, 1/32, and 1/16 form a geometric progression (GP). If the sum of the GP is (2³6 – 2^-6), find the number of terms.
- GP 3 members
Given that 49, X, and 81 are consecutive terms of a geometric progression, find: A. The value of x B. Geometric mean - MP3 player
Mary plans to buy a new MP3 player for 90 USD. And every month, the amount he saved in the previous month doubles. If she saves 3 USD in the first month, how many months will Mary save enough to buy an MP3 player? - In a GP 72+144
In a GP, the sum of the 2nd and fifth terms is 72, and the sum of the 3rd and 6th terms is 144. Find the common ratio, find the first term, and find the sum of the first six terms - Dream home
You finally found your dream home. It sells for $120,000 and can be purchased by paying 10% down and financing the balance at an annual rate of 9.6% compounded monthly. a) How much are your payments if you pay monthly for 30 years? b) Determine how much w - Salary increase 2
Each year, Francesca earns a salary 2 percent higher than her previous year's salary. In her first five years at this job, she earned a total of $187,345. What was Francesca's salary in her 1st year at this job?
- The sum 21
The sum of a geometric progression's 2nd and 3rd terms is six times the 4th term. Find the two possible values of the common ratio B. If the second term is eight, the common ratio is positive. Find the first six terms. - Geometric 61524
Determine the first term and quotient in the geometric sequence: a4 = -8 / 3; a6 = -32 / 3 - GP sequence
Find the remaining unknown characteristics in the finite geometric sequence, if given: a1 = 5, an = 320, sn = 635, n =? q =? - Finite geometric sequence
Find the remaining unknown characteristics in the finite geometric sequence, if given: a1 = 18, an = 13122, sn = 19674, n =? q =? - Members
A geometric sequence with six members has the sum of all six members equal to 63; the sum of the even members (that has an even index) has a value of 42. Find these members.
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