Geometric progression - practice problems - page 5 of 14
Number of problems found: 280
- Geometric sequence calculation
Determine the remaining quantities in the finite geometric sequence, given: n = 4, an = 12.5, sn = 187.5, a1 = ?, 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. - Seventh term
The first term of a geometric sequence is nine, and the third term is 1296. Find the seventh term. - Monthly payments 2
Suppose you have selected a new car to purchase for $19,500. If we can finance the car over four years at an annual rate of 6.9% compounded monthly, how much will your monthly payments be? - Specific series
Write the next three terms of the series formed according to a specific rule: 1, √2, 9, 2, 25, …, …, … - Insert Insert five numbers between 8 and 27 such numbers that, with two given ones, they form the first seven members of the geometric sequence.
- Straight-line depreciation
Olsen Inc. Purchased a $580,000 machine to manufacture a specialty tap for electrical equipment. The tap is in high demand, and Olsen can sell all it can manufacture for the next ten years. To encourage capital investments, the government exempts taxes on - Railways 3 Railway Corporation wants to purchase a new machine for $360,000. Management predicts that the machine can produce sales of $220,000 yearly for the next five years. Expenses are expected to include direct materials, direct labor, and factory overhead (exc
- Covid-19 spread
A Street has 13 houses in a row. Some residents in the first house tested positive for Covid-19. The virus spreads in 2 ways: It can spread to the next house or jump directly to the third house. Residents of house two can get infected in only one way, hou - Inspector and fare-dodging
Jirka rode as a fare-dodger and was caught by the inspector. He was supposed to pay 1 500 Kč, but at first he did not have money and then he forgot about it. If he does not pay on time, for each day of delay he will be charged a penalty amounting to 0.5‰ - GP - sequence The first three terms of a geometric sequence are as follows: 10, 30, 90. Find the next two terms of this sequence.
- Two geometric progressions
Insert several numbers between numbers 6 and 384 so that they form with the given GP numbers and that the following applies: a) the sum of all numbers is 510 And for another GP to apply: b) the sum of entered numbers is -132 (These are two different geome - Geometric progression members
We get three consecutive GP members if we subtract the same number from 33, 45, and 63. Determine this GP and calculate its fifth member. - GP - three members
Insert three numbers between the roots of the equation 4x² - 17x + 4 = 0 so that they form with the given GP numbers. - GP - edge lengths
The block edge lengths are made up of three consecutive GP members. The sum of the lengths of all edges is 84 cm, and the volume block is 64 cm³. Determine the surface of the block. - Number series continuation Continuation of the number series 9,12,18,27
- Squat exercise
Mike will start regular morning exercise on the first of January. Once he gets up, he squats regularly. Every next day he does twice as many squats as the previous day. On which day will he do sixteen times as many squats as he did on the third day? - Five years Nakato Nobuki, a Japanese artist, wants to have $24,000.00 in his savings account at the end of five years. Mr. Nobuki deposits $1,500.00 annually into savings and has a balance of $8,000.00 today. What must the interest rate on the savings account be for
- The block The block, the edges formed by three consecutive GP members, has a surface area of 112 cm². The sum of the edges that pass through one vertex is 14 cm. Calculate the volume of this block.
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