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 12th term of an arithmetic progression is seven times the 2nd term and the 8th term is three more than ten times of the first term. If the first term and common ratio of an geometric progression is equal to first term and common difference of the arithmetic progression respectively, then find the 5th term of the geometric progression. If the 12th term of an arithmetic progression is seven times the 2nd term and the 8th term is threemore than ten times of the first term. If the first term and common ratio of an geometricprogression is equal to first term and common difference of the arithmetic progressionrespectively, then find the 5th term of the geometric progression.
Let the first term of the ap be a and the common difference be dNow ,Atqa+11d=7(a+d)=>6a=4d=>a=2/3dAgain we havea+7d=10*a +3on putting a=2/3d and solving we get d=3 so a=2as first term of the ap is equal to the first term of the gp and common difference of the ap is equal to the common ratio of the gp So we have,a=2 and r=3Now 5th term of the gp=ar^4=2*3^4=2*81=162therefore the fifth term of the ap is 162.
Post Question
Dear , Preparing for entrance exams? Register yourself for the free demo class from askiitians.
points won -