Arithmetic progression - practice problems

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:

a_{n} = a_{1} + (n - 1) \cdot d

Sum of n AP members:

s_{n} = n \cdot \frac{a _{1} + a _{n}}{2}

Number of problems found: 352

Insert 4
Insert three arithmetic means between 3 and 63.
Multiples of eight
Find the sum of the first 25 multiples of 8.
Sequence:
Sequence: 4,10,40,400,16,000,______, ________ Find these two members.
Calculate
Calculate the sum of all three-digit natural numbers divisible by five.
Sum 1-6
Find the sum of the geometric progression 3, 15, 75,… to six terms.
Find next member
Find x if the numbers from a GP are 7, 49, and x.
Missing term 2
What is the missing term for the Geometric Progression (GP) 3, 15, 75,__, 1875?
10th term
What is the 10th term of the Arithmetic Progression if x1=4 and d=5?
Geometric progression
Fill 4 numbers between 4 and -12500 to form a geometric progression.
What is 24
What is the sum of numbers between 20 and 40?
HP - harmonic progression
Determine the 10th term of the harmonic progression 6,4,3,…
AS - sequence
What are the first ten members of the sequence if a11=22, d=2?
Tenth member
Calculate the tenth member of the geometric sequence when given: a₁=1/2 and q=2
Sequence 3
Write the first 5 members of an arithmetic sequence: a₄=-35, a₁₁=-105.
Determine 2840
Determine the first twelve members of the sequence if a13 = 95, d = 17
AP sequence
Identify the 11th term in the pattern using the rule: Starting number 4 and Add 16.
Negative difference
Find four arithmetic progression members between 7 and -6.
Find the mean
Find the number between 13 and 29.
Sum of odd numbers
Find the sum of all odd integers from 13 to 781.
AP terms
What are the four terms of arithmetic progression between numbers 4 and 19?

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