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:
an=a1+(n1)d


Sum of n AP members:

sn=na1+an2


Number of problems found: 186

  • HP - harmonic progression
    exp_growth_1 Determine the 10th term of the harmonic progression 6,4,3,…
  • Arithmetic progression 2
    seq_sum The 3rd term of an Arithmetic progression is 10 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 7 times the first term.
  • Geometric progression
    fractal Fill 4 numbers between 4 and -12500 to form geometric progression.
  • HP - harmonic progression
    sequence_geo_1 Determine the 8th term of the harmonic progression 2, 4/3, 1,…
  • Negative difference
    arithmet_seq Find four arithmetic progression members between 7 and -6.
  • 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.

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