# Chapter 5: Binomial Theorem, Sequences And Series - Online Test

Q1. The value of 2 + 4 + 6 +…….+ 2n is
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Q2. The coefficient of x6 in (2 + 2x)10 is
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Q3. The coefficient of x8y12 in the expansion of (2x + 3y)20 is
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Q4. If nC10 > nCr for all possible r, then a value of n is
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Q5. If a is the arithmetic mean and g is the geometric mean of two numbers, then
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Q6. If (1 + x2)2 (1 + x)n = a0 + a1x + a2x2 +……..+ xn+4 and if a0, a1, a2 are in AP, then n is
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Q7. If a, 8, b are in AP, a, 4, b are in GP, and if a, x, b are in HP then x is
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Q8. The sequence , form an
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Q9. The HM of two positive numbers whose AM and GM are 16, 8 respectively is
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Q10.

If Sn denotes the sum of n terms of an AP whose common difference is d, the value of Sn - 2Sn-1 + Sn-2 is

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No Explaination.