Will someone please check if I am right????
find the second and third term of the arithmetic sequence -7, __,__,-22,-27...
Options:
-12,-15*** My Answer
-17,-12
-10,-17
-12,-17
To find the second and third terms of an arithmetic sequence, we need to understand that an arithmetic sequence is a sequence of numbers where the difference between any two consecutive terms is constant. In this case, the common difference is -5 because each term is obtained by subtracting 5 from the previous term.
To find the second term, we start with the first term (-7) and then subtract the common difference (-5):
-7 - 5 = -12
So, the second term of the sequence is -12.
To find the third term, we start with the second term (-12) and again subtract the common difference (-5):
-12 - 5 = -17
Therefore, the second and third terms of the arithmetic sequence -7, __, __, -22, -27... are -12 and -17, respectively.
So, the correct option is -12, -17.
d = -27 + 22 = -5
-7 - 5 = -12
-12 - 5 = -17
-17 - 5 = -22
so the last one on the list