# How many terms are there in the following:1)-1,-5/6,-2/3,...,10/3.

2
by kavingowtham

2016-05-02T15:25:27+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
In the given series,
a=-1,d=-5/6-(-1)=-5/6+1=(-5+6)/6=1/6,l=10/3
l=a+(n-1)d
10/3=(-1)+(n-1)1/6
10/3=-1+n/6-1/6
10/3=(-6+n-1)/6
10/3=(n-7)/6
(10/3)*6=(n-7)
10*2=n-7
20=n-7
n=20+7
n=27...
Therefore,the number of terms in the given series is 27.

Plz mark it as the best if u like it
2016-05-02T16:26:50+05:30
In the given series or A.P............... a= -1....... d= -5/6-(-1)=-5/6+1=-5+6/6=1/6 ......... nth term = 10/3............ Now, an= a+(n-1)d...... 10/3= -1+(n-1)1/6.........10/3+1=(n-1)1/6........... 10+3/3=(n-1)1/6...........13/3×6/1= n-1.......78/3=n-1.............. 78/3+1= n.......78+3/3=n. ......... 81/3=n.....27=n....... Therefore there are 27 terms in the series or A.P.
Actually last time I didn't saw 1 of nth term and took it 0/3.... Sry ... My bad !! ... .... Hey if u don't mind then plzz mark it as best...