Is -73 a term of the series 5, 2, -1……..? explain full pls
Answers
Answer:
Step-by-step explanation:
Assuming the series is AP and first term is 5 and common difference is -3. Then if -73 is a term of series then
5 + (n-1)(-3) = -73
5 -3n +3 = -73
-3n = -81
n=27
-73 is the 27th term of the series.
Answer:
yes, it is a term of the series.
Step-by-step explanation:
so the given series is an arithmetic progression, which means that all successive terms have a common difference. in this case it is -3 and the first term is 5. if -73 is a term of the series it would have some integral place in the series means it could be the twentieth term, 535th term but not a term with decimal.
if we use the equation for the general term of an A.P.
nth term = first term + (n-1)×common difference
in this case if we put nth term = -73
then n must a integer(if it is would be a term of the series)
-73= 5+(n-1)(-3)
-73= 5 -3n + 3
-73 = 8 - 3n
-73 - 8 = -3n
-81 = -3n
if we divide both sides by -3, we get n=27
therefore -73 is a term of the series.