The fifth term of an arithmetic sequence is 9 and the 32nd term is -84. What is the 23rd term? HELP PLEASE!!!
Answer: −53
The common difference is −84−932−5, which is -93/27, or −349.
This means that the 23rd term is 9 −349(23-5), which is −53.
Edit: I forgot to add an explanation for anything, and I'm low on time right now. See if you can understand the following:
The common difference is the n2−n1t2−t1, where t is the term number (t2 being farther in the sequence) and n2 being the number that t2 is, and same with n1and t1. The xth term will be n1+ the common difference x (x - t1).
So basically the formula for any question like that, if I am thinking correctly, and assuming all the variable are as meantioned earlier in the eplanation is:
n1+n2−n1t2−t1⋅(x−t1).