Identify the 35th term of an arithmetic sequence where a1 = -7 and a18 = 95.

Question

nincompoop · Answer

do you know what the formula for arithmetic sequence is?

ankitshaw · Answer

a+ (n-1)d = eqn to find nth term of AP .  use it to find the difference and then u easily get 35th term

nincompoop · Answer

$$a_n=a_1+(n-1)d$$
a1 is the verst term 
d is the common difference 
n is the number of the term to find

anonymous · Answer

it would be a 35 = a -7 + (35-(7)) right?

nincompoop · Answer

you need to know the common difference first

nincompoop · Answer

-7 is your first term and 35 is the nth term you need to find. there isn't enough data to plug and find out the answer immediately.  the common difference, d, must be identified first

anonymous · Answer

102/17

anonymous · Answer

6!!!!

nincompoop · Answer

6 is the common difference?

anonymous · Answer

yes

nincompoop · Answer

try it out

anonymous · Answer

I know how to plug it into the equation but i have no clue how to solve it.

nincompoop · Answer

what is your equation?

nincompoop · Answer

put your equation up and I'll help you solve

anonymous · Answer

35 = a -7 + (35-(7)) 6

ilovebmth1234 · Answer

so you have to solve for a?

anonymous · Answer

I have no clue what I have to solve for

ilovebmth1234 · Answer

i think you solve for A in that equation it looks like

anonymous · Answer

okay. the a has those exponents on the bottom... im not sure what theyre called

ilovebmth1234 · Answer

what you mean? where?

anonymous · Answer

It's #3

ilovebmth1234 · Answer

197 hun is the answer

ilovebmth1234 · Answer

but let me check it once more to see if im right

ilovebmth1234 · Answer

e little numbers at the bottom of the numbers are telling you wich term they are like -7 is the first term and 95 is the 18th term and ther 35th term would be 197

anonymous · Answer

did you just multiply?

ilovebmth1234 · Answer

ill write out what i did and how to do it

anonymous · Answer

oh okay awesome :3

ilovebmth1234 · Answer

n = 35;  a1 = -7, d = 6
 
$$a _{n}=a _{1}+(n-1)d $$
$$a _{35}=-7+(35-1)6$$
$$a _{35}=197$$
The tenth term is 35.

ilovebmth1234 · Answer

make sense?

ilovebmth1234 · Answer

so when you get another problem like this just change the numbers and the equation always stays the same

anonymous · Answer

:O that makes so much sense! thank you!! :D you are a life saver <3

ilovebmth1234 · Answer

any time lol i just learned about this myself like 3 weeks ago so im glad i could help :D <3 anything you need help with?

anonymous · Answer

I think that's all I have :) I think I can figure out the rest using your example

ilovebmth1234 · Answer

alright hun im always here to help :)