Please Help :
If The t3=8 And t8=23 In An Arithmetic Sequence, Find a (Intital Term) And d (Common Difference) .
Thanks In Advance .
The third term is 8, the 8th term is 23. So, in the space of 5 terms, we covered a "distance" of 15. Thus, the common difference is 15/5 or 3.
To find the first term, let's work backwards from the third term. Since we're working backwards, instead of adding 3, we'll subtract 3.
Second term = 8 - 3 = 5.
Third term = 5 - 3 = 2.