Arithmetic progression - practice problems - page 6 of 20
Arithmetic Progression is just a sequence of numbers so that the common difference of any two consecutive numbers is a constant value.Formula for n-th member is:
an=a1+(n−1)⋅d
Sum of n AP members:
sn=n⋅2a1+an
Number of problems found: 394
- 14 sticks
I was cleaning up my attic recently and found a set of at least 14 sticks which a curious Italian sold me some years ago. Trying hard to figure out why I bought it from him, I realized that the set has the incredible property that there are no three stick - Interest compounded annually
If you deposit $4500 at 5% annual interest compounded annually, how much money will be in the account after ten years? - 2-3-6-15-42- 62474
A series of numbers was created according to a specific key. Uncover it and fill in the last two missing numbers. 2-3-6-15-42-? -? - Highest 62464
The iron pipes are placed in 10 rows, one above the other so that in the highest upper row, there are 15 pipes, and in each other, there is one tube more. How many pipes are there?
- 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 - Retirement saving
Deryl wishes to save money to provide for his retirement. Beginning one year from now, he will begin depositing the same fixed amount each year for the next 30 years into a retirement savings account. Starting one year after making his last deposit, he wi - 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 20
The sum of the first six terms of an arithmetic progression is 552, and the sum of the first two terms of the same is 200. Determine the sum of the first 15 terms. - Geometric 61524
Determine the first term and quotient in the geometric sequence: a4 = -8 / 3; a6 = -32 / 3
- Difference 61133
Determine the difference of the arithmetic sequence (an), if given: a1 = 5, an = 23, Sn = 392 - Arithmetic 61123 In the arithmetic sequence (an), determine a1, d if: a6 = -3, a15 = -8
- AP members Insert as many arithmetic sequence members between numbers 1 and 53 that the sum is 702.
- On Tuesday
On Tuesday, the temperature of a chemical compound measured 12°C. If the temperature dropped 4 1/2°C per day, what was the temperature after four days? - Quantities 60183 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 =?
- Find whole
Find whole numbers between 155 and 232 that are divisible by 2, 5, and 10. - Seventh term The first term of a geometric sequence is nine, and the third term is 1296. Find the seventh term.
- Find two 2
Find two decimals between 4.56 and 6.927 so that the difference between any two consecutive decimals is the same. - AP sequence Identify the 11th term in the pattern using the rule: Starting number 4 and Add 16.
Consider a recurrence relation an = 3an-1 - 3an-2 for n = 1,2,3,4,… with initial conditions a1 = 4 and a2 = 2. Calculate a5.Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
