# Arithmetic progression - math word problems

Arithmetic Progression is just a sequence of numbers in order that the common difference of any two successive numbers is a constant value.

Formula for n-th member is:
${a}_{n}={a}_{1}+\left(n-1\right)\cdot d$

Sum of n AP members:

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

#### Number of problems found: 177

• HP - harmonic progression Determine the 10th term of the harmonic progression 6,4,3,…
• Geometric progression Fill 4 numbers between 4 and -12500 to form geometric progression.
• Negative difference Find four arithmetic progression members between 7 and -6.
• HP - harmonic progression Determine the 8th term of the harmonic progression 2, 4/3, 1,…
• Difference AP Calculate the difference of arithmetic progression if the sum of its first 19 members Sn = 8075 and the first member is a1 = 20
• Geometric progression In geometric progression, a1 = 7, q = 5. Find the condition for n to sum first n members is: sn≤217.
• Determine AP Determine the difference of the arithmetic progression if a3 = 7, and a4 + a5 = 71
• 10th term What is the 10th term of the Arithmetic Progression if x1=4 and d=5?
• Insert 3 Insert five arithmetic progression members between -7 and 3/2.
• Common difference The 4th term of an arithmetic progression is 6. If the sum of the 8th and 9th term is -72, find the common difference.
• AP members What is the value of x2, x3, x4, x5…of the terms (of arithmetic progression) when x1 = 8 and x6 = 20?
• Arithmetic progression In some AP applies: 5a2 + 7a5 = 90 s3 = 12 Find the first member a =? and difference d = ?
• HP - harmonic progression 2 Compute the 16th term of the HP if the 6th and 11th term of the harmonic progression are 10 and 18 respectively.
• GP - 8 items Determine the first eight members of a geometric progression if a9=512, q=2
• Sum of members What is the sum of the first two members of the aritmetic progression if d = -4.3 and a3 = 7.5?
• Fifth member Determine the fifth member of the arithmetic progression, if the sum of the second and fifth members equal to 73, and difference d = 7.
• Missing term 2 What is the missing term for the Geometric Progression (GP) 3, 15, 75,__, 1875?
• AP RT triangle The length of the sides of a right triangle form an arithmetic progression, longer leg is 24 cm long. What are the perimeter and area?
• Q of GP Calculate quotient of geometric progression if a1=5 a a1+a2=12.
• Sum 1-6 Find the sum of the geometric progression 3, 15, 75,… to six terms.

Do you have an interesting mathematical word problem that you can't solve it? Submit a math problem, and we can try to solve it.

We will send a solution to your e-mail address. Solved examples are also published here. Please enter the e-mail correctly and check whether you don't have a full mailbox.

Please do not submit problems from current active competitions such as Mathematical Olympiad, correspondence seminars etc...