Sum of first 10 terms of a GP is equal to the sum of the first 12 terms in the same GP. Sum of the first 15 terms is 31, what is the third term in the GP?
Sum of first 10 terms is equal to sum of first 12 terms. Sum of first 12 terms = Sum of first 10 terms + 11th term + 12th term 11th term + 12thterm = 0 Let 11thterm = k, common ratio = r 12thterm will be = kr k + kr = 0 k (1 + r) = 0 r = -1 as k cannot be zero Common ratio = -1 Now, sum of 15 terms = a(r - 1)/(r - 1) = 31 ⇒ a(-1 -1)/(-1 -1) = 31 ⇒ a = 31 ∴ Third term = ar = 31 × (-1) = 31
Who introduced tobacco cultivation in India?
JECFA has evaluated more than _________food additives, approximately ___________ contaminants and naturally occurring toxicants, and residues of approx...
Which among the following market structures has the highest product differentiation?
What is the unit of Photosynthetically active radiation?
Transport in xylem is essentially _____ while in phloem it is _______.
Relationship between plant population and yield is asymptotic for which of the following crops?
Conservation hybrid is achieved by which of the following ?
National Centre for Integrated Pest Management (NCIPM) is located at:
In seed technology the term "Ear" means:
Which stage of the product life cycle causes the profit to improve substantially?
