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Ask QuestionPosted by Charchita Das 5 years, 4 months ago
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Gaurav Seth 5 years, 4 months ago
SET
A set is a well-defined collection of distinct objects. Well-defined collection means that there exists a rule with the help of which it is possible to tell whether a given object belongs or does not belong to given collection. Generally sets are denoted by capital letters A, B, C, X, Y, Z etc.
Posted by Adweta Mishra 5 years, 4 months ago
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Gaurav Seth 5 years, 4 months ago
Let the first term be 'a'
The common difference be 'r'
nth term is = a*r^(n-1)
So
first term
a1 = a*r^0
a = 18
second term
a2 = a*r^1 = -12
hence r = -2/3
Third term
a3 = 18*(-2/3)^2
= 8
Hence
a = 18
r = -2/3
512/729 = 18*(-2/3)^n -------(1)
after cross multiplying 18 we have to find the power of n which satisfies (-2/3)^n = 256/6561
we obtain (-2)^8 = 256 and 3^8 = 6561
therefore (1) becomes
18*(-2/3)^8 = 512/729
n-1 = 8
Therefore it is the 9th term
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Gaurav Seth 5 years, 5 months ago
Aryabhata invented zero.
Aryabhata is the first of the great astronomers of the classical age of India. He was born in 476 AD in Ashmaka but later lived in Kusumapura, which his commentator Bhaskara I (629 AD) identifies with Patilputra (modern Patna). Aryabhata gave the world the digit "0" (zero) for which he became immortal.
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Arithmetic is a branch of mathematics that consists of the study of numbers, especially the properties of the traditional operations on them—addition, subtraction, multiplication, division, exponentiation and extraction of roots.
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