Let $$t_{1},t_{2}$$,... be real numbers such that $$t_{1}+t_{2}+…+t_{n} = 2n^{2}+9n+13$$, for every positive i

Question

Let $$t_{1},t_{2}$$,... be real numbers such that $$t_{1}+t_{2}+…+t_{n} = 2n^{2}+9n+13$$, for every positive integer $$n \geq 2$$. If $$t_{k}=103$$, then k equals

Accepted Answer

It is given that t 1 + t 2 + … + t n = 2 n 2 + 9 n + 13 t_{1}+t_{2}+…+t_{n} = 2n^{2}+9n+13 t 1 ​ + t 2 ​ + … + t n ​ = 2 n 2 + 9 n + 13 , for every positive integer n ≥ 2 n \geq 2 n ≥ 2 . We can say that t 1 + t 2 + … + t k = 2 k 2 + 9 k + 13 t_{1}+t_{2}+…+t_{k} = 2k^{2}+9k+13 t 1 ​ + t 2 ​ + … + t

Let $t_{1},t_{2}$ ,... be real numbers such that $t_{1}+t_{2}+…+t_{n} = 2n^{2}+9n+13$ , for every positive integer $n \geq 2$ . If $t_{k}=103$ , then k equals

Let $t_{1},t_{2}$ ,... be real numbers such that $t_{1}+t_{2}+…+t_{n} = 2n^{2}+9n+13$ , for every positive integer $n \geq 2$ . If $t_{k}=103$ , then k equals

Let t1,t2t_{1},t_{2}t1​,t2​,... be real numbers such that t1+t2+…+tn=2n2+9n+13t_{1}+t_{2}+…+t_{n} = 2n^{2}+9n+13t1​+t2​+…+tn​=2n2+9n+13, for every positive integer n≥2n \geq 2n≥2. If tk=103t_{k}=103tk​=103, then k equals

Let t1,t2t_{1},t_{2}t1​,t2​,... be real numbers such that t1+t2+…+tn=2n2+9n+13t_{1}+t_{2}+…+t_{n} = 2n^{2}+9n+13t1​+t2​+…+tn​=2n2+9n+13, for every positive integer n≥2n \geq 2n≥2. If tk=103t_{k}=103tk​=103, then k equals

Let $t_{1},t_{2}$ ,... be real numbers such that $t_{1}+t_{2}+…+t_{n} = 2n^{2}+9n+13$ , for every positive integer $n \geq 2$ . If $t_{k}=103$ , then k equals

Let $t_{1},t_{2}$ ,... be real numbers such that $t_{1}+t_{2}+…+t_{n} = 2n^{2}+9n+13$ , for every positive integer $n \geq 2$ . If $t_{k}=103$ , then k equals