`1*3^2+3*5^2+5*7^2......`find sum to `n` terms

Find the sum of the series 1+3x+5x^2+7x^3+.......... upto n terms.

Find the sum of the series 1+3x+5x^(2)+7x^(3)+...... upto n terms.

Find the sum of the series 1+3x+5x^2+7x^3+.......... upto n terms.

Find the sum as directed. 3.2+5.2^2+7.2^3+.... (first n terms)

Find the sum : 3.1^2+4.2^2+5.3^2+.... upto n terms.

Find the sum of the series 1 . 3^(2) + 2.5 ^(2) + 3.7^(2) +…+ to n terms

Find the sum of the series 1 . 3^(2) + 2.5 ^(2) + 3.7^(2) +…+ to n terms

Find the sum of the following series : 3.1^2+5.2^2+7.3^2 + .... to n terms .

Find the sum to n terms of the series (1)/(1*3*5*7*9)+(1)/(3*5*7*9*11)+(1)/(5*7*9*11*13)+"......" . Also, find the sum to infinty terms.