Quantitative Aptitude – Modern Maths – Sequence and Series – Let t1, t2,… be real numbers

December 23rd, 2019 by

Quantitative Aptitude – Modern Maths - Sequence and Series – Let t1, t2,… be real numbers Slot -2 – Quantitative Aptitude – Modern Maths - Sequence and Series – Let t1, t2,… be real numbers Let t1, t2,… be real numbers such that t1+t2+…+tn = 2n2+9n+13, for every positive integer n ≥ 2. If tk=103, then k equals? Answer: 24 Solution: Given, t(base1)+t(base2)+…+t(base n) = 2n^2+9n+13 So t(base1) + t(base2) = 2×2^2+9×2+13=39 t(base1) + t(base2) + t(base3) = 2×3^2+9×3+13=58 means t(base 3) = 58 –

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Quantitative Aptitude – Modern Maths – Sequence and Series – The value of the sum 7 x 11

December 23rd, 2019 by

Quantitative Aptitude – Modern Maths - Sequence and Series – The value of the sum 7 x 11 Slot -2 – Quantitative Aptitude – Modern Maths - Sequence and Series – The value of the sum 7 x 11 The value of the sum 7 x 11 + 11 x 15 + 15 x 19 + ...+ 95 x 99 is? a) 80707 b) 80730 c) 80773 d) 80751 Answer: a) 80707 Solution: 7 x 11 + 11 x 15 + 15 x 19 + ...+ 95 x 99 nth term of series = {4(n+1)-1}×{ 4 (n+1)+3}=16n^2+16+32n+8n+8- 3=16n^2+40n+21 Thus 7 x 11 + 11 x 15 + 15 x 19 + ...+ 95 x 99 = ∑ Tn=∑ (

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