Arithmetic progression - practice problems - page 7 of 22
Number of problems found: 423
- 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 is 200. Determine the sum of the first 15 terms. - Geometric sequence terms
Determine the first term and quotient in the geometric sequence: a4 = -8 / 3; a6 = -32 / 3 - Sequence difference sum
Determine the difference of the arithmetic sequence (an), if given: a1 = 5, an = 23, Sn = 392 - Arithmetic sequence terms 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? - 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 =?
- 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 sequence using the rule: starting number 4, add 16 each time.
- Recurrence relation
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. - Sequence 13 2, 2, 3, 5, 9, 11, 17, 21 If the number 23 is added to the list, which measurement will NOT change?
- 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.
- AP - consecutive members
In the arithmetic sequence, a1 = 4.8, d = 0.4. How many consecutive members, starting with the first, need to be added so that the sum is greater than 170? - The perimeter
The perimeter of the triangle is 24, and the sides are integers and form an arithmetic sequence. Specify the side sizes of this triangle.
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