# Arithmetic Sequence

Given the third term of an arithmetic sequence less than the fourth term by three. The seventh term is two times the fifth term. Find the common difference and the first term.

1. since the terms have a constant difference, the difference is 3.

a+6*3 = 2(a+4*3)
a+18 = 2a+24
a = -6

sequence is -6,-3,0,3,6,9,12,15,18,21,24
T7 = 12 = 2*6 = 2T5

posted by Steve
2. I CANT GET IT. PLS LIST DOWN ALL THE SOLUTIONS ONE BY ONE. SO THAT I CAN UNDERSTAND. THANK YOU SO MUCH!!!

posted by UNKNOWN
3. ANYONE? PLS HELP ME! MY FRIEND A.K.A MY ROOMATE NEED TO SOLVE THIS QUEST ASAP. THANKYOUUUUUU 😘

posted by UNKNOWN

## Similar Questions

1. ### Algebra

True or False 1. – 5, – 5, – 5, – 5, – 5, … is an arithmetic sequence. 2. In an arithmetic sequence, it is possible that the 13th term is equal to its 53rd term. 3. In an arithmetic sequence, the common difference is
2. ### Math

The fourth term of an arithmetic sequence is less than the fifth term by 3. The seventh term is three times the fifth term. Find the common difference and the first term
3. ### Math

3,5,-5... The first term in the sequence of #'s shown above is 3. Each even # term is 2 more than the previous term and each odd # term, after the first, is -1 times the previous term. For example, the second term is 3+2, and the
4. ### Algebra

I am so lost on these problems. Write a geometric sequence that starts with 3 and has a common ratio of 5. What is the 23rd term in the sequence. Write an arithmetic sequence that has a common difference of 4 and the eighth term
5. ### Math

If the 16th term of an arithmetic sequence is three times the fourth term, find the ratio of the 23rd term to the third term.
6. ### Mathematics : Arithmetic Sequence

The 5th term and the 8th term of an arithmetic sequence are 18 and 27 respctively. a)Find the 1st term and the common difference of the arithmetic sequence. b)Find the general term of the arithmetic sequence.
7. ### math

find the rule for the Nth term of the arithmetic sequence. 11/2, 25/6, 17/6, 3/2, 1/6..... If you change the denomators to 6, you should notice the numerators follow the sequence: 33,25,17,9,1,...which is an arithmetic sequence
8. ### math

The sum of the first 10 term of an arithmetic sequence is 145 and the sum of the fourth and ninth term is five times the third term. Determine the first term and constant difference.
9. ### math

If the second term of an arithmetic sequence is -2 and the fourth term is 6, find the seventh term
10. ### mathematics

1.1 the third term of an arithmetic sequence is 8 and the 15 term is 44 . Calculate: 1.1 the common difference and first term. 1.2 the sum of the first 50 terms. 1.2 1;4;7;10.... Is an arithmetic sequence .find: 1.2.1 the 30 term.

More Similar Questions