MATH HELP: Sequencing

[septoid2]

5) In an arithmetic sequence, the 11th term is 53, and the sum of the 5th and 7th term is 56. Find the sequence.

So far this is all I have.

t11=53
t5 + t7 = 56



Hehe. Anyone help me out? Chankama this is where you shine.

EDIT: By sequence they mean tn=a + (n-1)d but if you just gimme t5 or t7 that'd be great.

 

[Chankama]

Hehe. Anyone help me out? Chankama this is where you shine.

lol

See if this helps ..

(a+4d) + (a+6d) = 56
2a + 10d = 56 (1)

a+10d = 53 (2)

(1) - (2) = a = 3
Sub in (1), d = 5

(a, d) = (3, 5)

 

[septoid2]

:| I'm lost. So whats t5 and t7.

Where did a+4d and a+6d come from?

 

[Chankama]

T5 = a + 4d = 23
T7 = a + 6d = 33

 

[septoid2]

Where did a+4d and a+6d come from?

 

[Chankama]

EDIT: By sequence they mean tn=a + (n-1)d but if you just gimme t5 or t7 that'd be great.

From what you said in the first post! lol

 

[septoid2]

NEVERMIND ME CHANKAMA YOU ARE A GENIUS

I LOVE YOU


thanks chankama, you saved the day again.

 

[Chankama]

I LOVE YOU

LOL..

No probs man

 

[septoid2]

wow.. this assignment will be the end of me. stick around this thread ill be posting more im sure of it. if i dont. then i got the questions horribly wrong and i shall never go to waterloo like i aspired to since grade 6.

 

[septoid2]

oo okay, new question.

If 5+x, 8, and 1+2x are consecutive terms in an arithmetic sequence, find x.