Sunday

November 23, 2014

November 23, 2014

Posted by **Max** on Saturday, January 14, 2012 at 3:35pm.

I've been trying to solve this for like an hour but I just can't figure out how to do it! I'd really appreciate your help! Thanks!!

- Math - Arithmetic Sequences -
**Reiny**, Saturday, January 14, 2012 at 4:58pm"The sum of the 4th and the 14th term of an arithmetic sequence equals 22" ----> a+3d + a+13d = 22

2a + 16d = 22

a + 8d = 11 (#1)

"The 9th term is 4 larger than the 4th term" ---> a+8d - (a+3d) = 4

5d = 4

d = 4/5

a = 11-8d

a = 11 - 8(4/5) = 23/5

check:

t4 = 23/5 + 3(4/5) = 35/5 = 7

t9 = 23/5 + 8(4/5) = 55/5 = 11

t14 = 23/5 + 13(4/5) = 75/5 = 15

11+15 = 22

11-7=4

all is good

- Math - Arithmetic Sequences -
**Anonymous**, Tuesday, December 11, 2012 at 9:02pmThe third term of an arithmetic sequence is 15, and the fifth term is 37. What is the first term?

**Answer this Question**

**Related Questions**

math - find the 4th term of an arithmetic sequence whose first term is -8 and ...

arithmetic - An arithmetic n geometric sequence have the same first term 2.with ...

Utech - The 9th term of an Arithmetic Progression is 8 and the 4th term is 20. ...

Arithmetic Progression - In an AP the 6th term is half the 4th term and the 3rd ...

Arithmetic Sequence - Given the third term of an arithmetic sequence less than ...

Mathematics : Arithmetic Sequence - The 5th term and the 8th term of an ...

math - find the rule for the Nth term of the arithmetic sequence. 11/2, 25/6, 17...

arithmetic - The 8th term of an A P is 5times the third term while the 7th term ...

Maths - An arithmetic and a geometric sequence have the same first terms.(2).......

Maths - 1..The first 2 terms of a geometric progression are the same as the ...