# Sequences AP + GP

The three numbers that make up the arithmetic sequence have the sum of 30. If we subtract from the first 5, from the second 4 and keep the third, we get the geometric sequence. Find AP and GP members.

### Correct answer:

Tips to related online calculators

Looking for help with calculating arithmetic mean?

Looking for a statistical calculator?

Looking for help with calculating roots of a quadratic equation?

Do you have a system of equations and looking for calculator system of linear equations?

Looking for a statistical calculator?

Looking for help with calculating roots of a quadratic equation?

Do you have a system of equations and looking for calculator system of linear equations?

#### You need to know the following knowledge to solve this word math problem:

We encourage you to watch this tutorial video on this math problem: video1

## Related math problems and questions:

- Geometric progressiob

If the sum of four consective terms of geometric progression is 80 and arithmetic mean of second and fourth term is 30 then find terms? - Two geometric progressions

Insert several numbers between numbers 6 and 384 so that they form with the given GP numbers and that the following applies: a) the sum of all numbers is 510 And for another GP to apply: b) the sum of entered numbers is -132 (These are two different geome - Three members GP

The sum of three numbers in GP (geometric progression) is 21 and the sum of their squares is 189. Find the numbers. - GP - three members

The second and third of a geometric progression are 24 and 12(c+1), respectively, given that the sum of the first three terms of progression is 76. determine the value of c. - Geometric seq

Find the third member of geometric progression if a1 + a2 = 36 and a1 + a3 = 90. Calculate its quotient. - Geometric progression

In geometric progression, a1 = 7, q = 5. Find the condition for n to sum first n members is: sn≤217. - Five element

The geometric sequence is given by quotient q = 1/2 and the sum of the first six members S_{6}= 63. Find the fifth element a_{5}. - Geometric sequence 3

In geometric sequence is a_{8}= 312500; a_{11}= 39062500; s_{n}=1953124. Calculate the first item a_{1}, quotient q, and n - number of members by their sum s_n. - GP members

The geometric sequence has 10 members. The last two members are 2 and -1. Which member is -1/16? - Geometric sequence 5

About members of geometric sequence we know: ? ? Calculate a_{1}(first member) and q (common ratio or q-coefficient) - Consecutive members

The block has a volume of 1728 cm³. Determine the lengths of the edges a, b, c of the blocks for which a < b < c and a + b + c = 38 cm and whose numerical values in cm represent three consecutive members of the geometric sequence. - Sum of GP members

Determine the sum of the GP 30, 6, 1.2, to 5 terms. What is the sum of all terms (to infinity)? - Geometric sequence 4

It is given geometric sequence a_{3}= 7 and a_{12}= 3. Calculate s_{23}(= sum of the first 23 members of the sequence). - The sum

The sum of the squares of two immediately following natural numbers is 1201. Find these numbers. - The sum

The sum of the first 10 members of the arithmetic sequence is 120. What will be the sum if the difference is reduced by 2? - Geometric sequence

In the geometric sequence is a_{4}= 20 a_{9}= -160. Calculate the first member a_{1}and quotient q. - The block

The block, the edges formed by three consecutive GP members, has a surface area of 112 cm^{2}. The sum of the edges that pass through one vertex is 14 cm. Calculate the volume of this block.