Arithmetic progression - practice problems - page 2 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
- Arithmetic progressions.
Find the sum of all the numbers between 9 and 204, which is exactly divisible by 3.
- Three members
If 2a+2+a =17, what is the value of a?
- Geometric progression
For the following geometric progression, find the seventh (7th) term: 4, 12, 36, 108, .
- A man 12
A man in his will shared his money geometrically among his six sons, so the eldest son received ; 5,589 and the youngest son received ; 736. (A)How much will the fourth son receive? (B)How much was shared among them
- AP with variables
What is the second member in the arithmetic sequence with 7 terms, whose first and last terms are x+2y and 7x-4y
- Fraction's sequence
What is the next fraction in this sequence? Simplify your answer. 1/59, 2/59, 4/59, 8/59, ...
- Eduardo
Eduardo wrote a fraction problem by adding 1/4 and then subtracting 2 1/2 in the same pattern, and he got these numbers: 8 5/8, 6 1/8, 6 3/8, 3 7/8 Identify the next two numbers in the pattern
- Geometric series
How many terms of the geometric series 8+4+2+1+0.5+... must be taken for the sum to get within 10 to the power minus 4 of its sum to infinity?
- What is 24
What is the sum of numbers between 20 and 40?
- The sum 39
The sum of the first six terms of the arithmetic sequence is 72, and the second term is seven times the fifth term. Find the first term and the AP difference.
- The AP pattern
The number pattern below starts with 26.407. Subtract 0.325 from the previous term to find the next term.
- AP Formula
Use the Arithmetic Sequence Formula to find the 120th term of this sequence: 3, 6, 9, 12, 15, 18, ...
- Altering sign sequence
Find the nth term of the sequence -1/2, 1/4, - 1/6, 1/8, - 1/10, ....
- In 1970
In 1970 the population was 24,000. In 1980 the population was 28,800. By what percent did the population increase?
- At week
At week 3., the turtle was 5.45 centimeters long. At week 12, the turtle was 10.20 centimeters long. From week 12 to week 21, the turtle grew 0.5 centimeters less than it grew from week 3 to week 12. What was the length in centimeters of the turtle at wee
- Fibonacci numbers
If the first three Fibonacci numbers are given as x1 = 1, x2 = 1, and x3 = 2, then what is the least value of n for which x(n) > 500?
- Determine 82975
Determine the sum of all positive odd numbers less than 78
- Calculate 82845
Calculate the sum of the first 9 terms of the geometric sequence if a3 equals 2 and a4 equals 8.
- Consecutive 82712
The sum of five consecutive even numbers is -10. What are the numbers?
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