# Arithmetic progression - math 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: 188

• Arithmetic progression 2
The 3rd term of an Arithmetic progression is ten more than the first term, while the fifth term is 15 more than the second term. Find the sum of the 8th and 15th terms of the Arithmetic progression if the 7th term is seven times the first term.
• 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.
• HP - harmonic progression
Determine the 8th term of the harmonic progression 2, 4/3, 1,…
• Negative difference
Find four arithmetic progression members between 7 and -6.
• Geometric progression
In geometric progression, a1 = 7, q = 5. Find the condition for n to sum first n members is: sn≤217.
• 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
• 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.
• AP members
What is the value of x2, x3, x4, x5…of the terms (of arithmetic progression) when x1 = 8 and x6 = 20?
• 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.
• 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.

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