algebra

What is the sum of the progression 4, 9, 14, 19... up to the \(20^{th}\) term?

A stack of bricks has 61 bricks in the bottom layer, 58 bricks in the second layer, 55 bricks in the third layer, and so on until there are 10 bricks in the last layer. How many bricks are there all together?

Determine the sum of the progression if there are 7 arithmetic mean between 3 and 35.

A besiege fortress is held by 5700 men who have provisions for 66 days. If the garisson losses 20 men each day, for how many days can the provision hold out?

In the recent "Gulf War" in the Middle East, the allied forces captured 6400 of Saddam's soldiers and with provisions on hand it will last for 216 meals while feeding 3 meals a day. The provision lasted 9 more days because of daily deaths. At an average, how many died per day?

A Geodetic Engineering student got a score of \(30\%\) on Test 1 of the five number test in Surveying. On the last number he got \(90\%\) in which a constant difference more on each number that he had on the immediately preceding one. What was his average score in Surveying?

If the sum is 220 and the first term is 10, find the common difference if the last term is 30.

Once a month, a man puts some money into the cookie jar. Each month he puts 50 centavos more into the jar than the month before. After 12 years, he counted his money, he had P 5,436. How much money did he put in the jar in the last month?

A girl on a bicycle coasts downhill covering 4 feet the first second, 12 feet the second second, and in general, 8 feet more each second than the previous second. If she reaches the bottom at the end of 14 seconds, how far did she coasts?

When all odd numbers from 1 to 101 are added, the result is

How many times will a grandfather's clock strikes in one day if it strikes only at the hours and strike once at 1 o'clock, twice at 2 o'clock, thrice at 3 o'clock and so on?

To conserve energy due to the present energy crisis, the Meralco tried to re-adjust their charges to electrical energy users who consume more than 2000 kw-hrs. For the first 100 kw-hr, they charged 40 centavos and increasing at a constant rate more than the preceding one until the fifth 100 kw-hr, the charge is 76 centavos. How much is the average charge for the electrical energy per 100 kw-hr?

The \(3^{rd}\) term of a harmonic progression is 15 and the \(9^{th}\) term is 6. Find the \(11^{th}\) term.

Find the fourth term of the progression \(1/2\), 0.2, 0.125,...

Find the \(9^{th}\) term of the harmonic progression 3, 2, \(3/2\)....

Find the sum of 4 geometric means between 160 and 5.

The fourth term of a G. P. is 216 and the \(6^{th}\) term is 1944. Find the \(8^{th}\) term.

Determine x so that: x, \(2x+7\), \(10x-7\) will be a geometric progression.

If one third of the air in a tank is removed by each stroke of an air pump, what fractional part of the total air is removed in 6 strokes?

A product has a current selling of P 325.00. If its selling price is expected to decline at the rate of \(10\%\) per annum because of obsolescence, what will be its selling price four years hence?