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:
an=a1+(n1)d


Sum of n AP members:

sn=na1+an2


Number of problems found: 177

  • HP - harmonic progression
    exp_growth_1 Determine the 10th term of the harmonic progression 6,4,3,…
  • Geometric progression
    fractal Fill 4 numbers between 4 and -12500 to form geometric progression.
  • Negative difference
    arithmet_seq Find four arithmetic progression members between 7 and -6.
  • HP - harmonic progression
    sequence_geo_1 Determine the 8th term of the harmonic progression 2, 4/3, 1,…
  • Difference AP
    delta 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
    exp_1 In geometric progression, a1 = 7, q = 5. Find the condition for n to sum first n members is: sn≤217.
  • Determine AP
    diff Determine the difference of the arithmetic progression if a3 = 7, and a4 + a5 = 71
  • 10th term
    seq_sum_1 What is the 10th term of the Arithmetic Progression if x1=4 and d=5?
  • Insert 3
    arithmet_seq Insert five arithmetic progression members between -7 and 3/2.
  • Common difference
    apollo 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
    arithmet_seq What is the value of x2, x3, x4, x5…of the terms (of arithmetic progression) when x1 = 8 and x6 = 20?
  • Arithmetic progression
    postupnost1_4 In some AP applies: 5a2 + 7a5 = 90 s3 = 12 Find the first member a =? and difference d = ?
  • HP - harmonic progression 2
    seq 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
    fn Determine the first eight members of a geometric progression if a9=512, q=2
  • Sum of members
    seq_5 What is the sum of the first two members of the aritmetic progression if d = -4.3 and a3 = 7.5?
  • Fifth member
    arithmet_seq_1 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
    seq What is the missing term for the Geometric Progression (GP) 3, 15, 75,__, 1875?
  • AP RT triangle
    right_triangle_4 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
    geometric_1 Calculate quotient of geometric progression if a1=5 a a1+a2=12.
  • Sum 1-6
    seq_sum Find the sum of the geometric progression 3, 15, 75,… to six terms.

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