System of equations + arithmetic progression - practice problems - last page
Number of problems found: 38
- Consecutive 6174
Find three consecutive integers whose sum is -693. - Difference 5867
Calculate the value of the first term and the difference in the arithmetic sequence a1 + a7 = 42 a10-a3 = 21 - Difference 5222
Determine the difference and the first term of AP if a3 + a4 = 48, a7 = 80. - Odd numbers
The sum of four consecutive odd numbers is 1048. Find those numbers.
- Arithmetic progression
In some arithmetic progression applies: 5a2 + 7a5 = 90 s3 = 12 Find the first member a =? and difference d =. - Have solution
The sum of four consecutive even numbers is 92. Determine these numbers. - Consecutive 4122
The sum of four consecutive natural numbers is 90. Determine these numbers. - Angle in RT
Determine the size of the smallest internal angle of a right triangle whose sides constitute the sizes of consecutive members of arithmetic progressions. - Angle
Determine the size of the smallest internal angle of a right triangle which angles forming the successive members of the arithmetic sequence.
- Chocholate pyramid
How many chocolates are on the third shelf when on the 8th shelf are 41 chocolates on any other shelf? Are seven chocolates more than the previous shelf? - Subsequent 3312
We have to distribute the amount of 1200 euros to the five successful solvers of the Olympics so that the second and each subsequent one gets 50 euros less than the previous one. How many euros did each get? - AP 6
Calculate the first five items of an arithmetic sequence if it is given: a2 – a3 + a5 = 20 a1 + a6 = 38 - Three ints
The sum of three consecutive integers is 2016. What numbers are they? - AP - basics
Determine the first member and differentiate the following sequence: a3-a5=24 a4-2a5=61
- Geometric sequence
In the geometric sequence is a4 = 20 a9 = -160. Calculate the first member a1 and quotient q. - Angles in a triangle
The angles of the triangle ABC make an arithmetic sequence with the largest angle γ=83°. What sizes have other angles in a triangle? - Geometric sequence 3
In geometric sequence is a8 = 312500; a11= 39062500; sn=1953124. Calculate the first item a1, quotient q, and n - number of members by their sum s_n. - Sequence
The arithmetic sequence is given: Sn=2304, d=2, an=95 Calculate a1 and n.
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