If the sum of the first 15 terms of the series 3 4 3 + 1 1 2 3 + 2 1 4 3 + 3 3 + 3 3 4   3 + … is equal to 225 K , then K is equal to :

Question

If the sum of the first 15 terms of the series 3 4 3 + 1 1 2 3 + 2 1 4 3 + 3 3 + 3 3 4 &#160; 3 + &#8230; is equal to 225 K , then K is equal to :

Aicharya · Accepted Answer

Given series, 3 4 3 + 6 4 3 + 9 4 3 + 12 4 3 + 15 4 3 + &#8230; 15 terms = 3 4 3 1 3 + 2 3 + 3 3 + &#8230; + 15 3 = 27 64 15 &#215; 16 2 2 &#160; &#160; &#160; &#8757; &#8721; n = 1 n = n n 3 = n n + 1 2 2 = 27 64 &#215; 225 &#215; 64 1 = 27 &#215; 225 Since, given 225 K = 27 &#215; 225 &#8658; K = 27

If the sum of the first 15 terms of the series 3 4 3 + 1 1 2 3 + 2 1 4 3 + 3 3 + 3 3 4   3 + … is…

Solution

If the sum of the first 15 terms of the series 3 4 3 + 1 1 2 3 + 2 1 4 3 + 3 3 + 3 3 4 &#160; 3 + &#8230; is…

Solution

If the sum of the first 15 terms of the series 3 4 3 + 1 1 2 3 + 2 1 4 3 + 3 3 + 3 3 4 3 + … is…