Learn to Create a Robotic Device Using Arduino in the Free Webinar. Register Now
One of our academic counsellors will contact you within 1 working day.
Click to Chat
1800-1023-196
+91-120-4616500
CART 0
Use Coupon: CART20 and get 20% off on all online Study Material
Welcome User
OR
LOGIN
Complete Your Registration (Step 2 of 2 )
Free webinar on Robotics (Block Chain) Learn to create a Robotic Device Using Arduino
30th Jan @ 5:00PM for Grade 1 to 10
If the first term of an infinite gp is 1 and every term equal the sum of the successive term. Find the common ratio of GP. Also find the fourth term If the first term of an infinite gp is 1 and every term equal the sum of the successive term. Find the common ratio of GP. Also find the fourth term
t(n)=t(n+1)+t(n+2)+......=S(∞)-S(n)ar^(n-1)=a/(1-r)-a{(1-r^n)/(1-r)}r^(n-1){1-r}=1–1+r^n=r^nr^(n-1)-r^n=r^nr^(n-1)=2r^nr^n/r=2r^n1/r=2r=½ Hence 4th term = a * r⁴ = 1 *(1/2)4 = 1/16
t(n)=t(n+1)+t(n+2)+......=S(∞)-S(n)
ar^(n-1)=a/(1-r)-a{(1-r^n)/(1-r)}
r^(n-1){1-r}=1–1+r^n=r^n
r^(n-1)-r^n=r^n
r^(n-1)=2r^n
r^n/r=2r^n
1/r=2
r=½
Hence 4th term = a * r⁴ = 1 *(1/2)4 = 1/16
Post Question
Dear , Preparing for entrance exams? Register yourself for the free demo class from askiitians.
points won -