# Geometric progression - practice problems - page 2 of 13

#### Number of problems found: 254

- Triangular 81985

Trainees stand on the marks in rows exactly 1.5 m apart. They form an expanding triangular wedge (in each subsequent row, there is one more exerciser), while the distance between the front exerciser and the back row is 30 m. Determine the number of traine - 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. - Inhabitants 81581

The number of inhabitants of the city decreased in 10 years from 72800 to 56000. What is the annual decrease in the population in percentage? - 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. - Sequence 80450

How many terms does the sequence have if a1=4, Sn=589, d=3, n=? - The sequence

Find the nth term of the progression 2,6,12,20...

- 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] - Find k

Find k so that the terms k-3, k+1, and 4k-2 form a geometric sequence. Show your solution. - What is 21

What is the next number? What is the 7th number? 160, 80, 40, 20, 10, _ - Parabolic sequence

Find the sum of the first nine terms of an arithmetic sequence whose general term is a(n) = 3n²+5

- Sequence:

Sequence: 4,10,40,400,16,000,______, ________ Find these two members. - GP - ratio

What is the common ratio of -8,40,-200,1000,-5000 (geometric sequence)? - 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. - Shopping mall

A new shopping mall records 120 total shoppers on their first day of business. Each day after that, the number of shoppers is 10 percent more than the day before. What is the total number of shoppers that visited the mall in the first seven days? Round yo - Deposit for house

The current house price is $300000, with prices increasing by 3% yearly. A buyer wishes to purchase the house in 5 years. The bank requires a 10%deposit on the price of the house in order to grant a loan. How much would the buyer need to deposit each quar

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