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Yogita Ingle 6 years, 2 months ago
On applying euclid's division Lemma for 36 and 96
96 = 36 ×2 + 24
Here, Remainder = 24≠0
So take new Dividend as 36 and divisor as 24.
36 = 24×1 +12
Here, Remainder = 12≠0
So take new Dividend as 24 and divisor as 12.
24 = 12×2 +0
Here, the Remainder = 0 and the last divisor is 12.
So, HCF of 36 and 96 is 12.
On applying euclid's division Lemma for 12 and 120
120 = 12 ×10 + 0
Here Remainder = 0
So , HCF of 36, 96 and 120 is 12.
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Yogita Ingle 6 years, 2 months ago
Given A.P:
-11,-8,-5,.….,49
first term (a) = -11,
{tex}Common\: difference (d)\\=a_{2}-a_{1}\\=-8-(-11)\\=-8+11\\=3{/tex}
Now,
Rearranging the terms , from last to first ,we get
49,46,...,-5,-8,-11
first term (a) = 49,
d = 46-49 = -3
{tex}Fourth\:term (a_{4})=a+3d{/tex}
{tex}=49+3\times (-3)\\=49-9\\=40{/tex}
Therefore,
{tex}Fourth\:term\:the \:last \:of\\the \:A.P = 40{/tex}
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Dhruv Bansal 6 years, 2 months ago
1Thank You