Âàðèàíò 1 Ñàìîñòîÿòåëüíàÿ ðàáîòà 35 ÃÄÇ Ìåðçëÿê Ïîëîíñêèé 9 êëàññ (Àëãåáðà)

Ðàññìîòðèì âàðèàíò ðåøåíèÿ çàäàíèÿ èç ó÷åáíèêà Ìåðçëÿê, Ïîëîíñêèé, Ðàáèíîâè÷ 9 êëàññ, Âåíòàíà-Ãðàô:

Ñàìîñòîÿòåëüíàÿ ðàáîòà ¹ 35

Ñóììèðîâàíèå

1. Íàéäèòå ñóììó 4/3+19/9+82/27+...+(3^n·n+1)/3^n.

2. Íàéäèòå ñóììó (2+1/2)^2+(2^2+1/2^2)^2+(2^3+1/2^3)^2+...+(2^n+1/2^n)^2.

3. Íàéäèòå ñóììó 1/(3·7)+1/(7·11)+1/(11·15)+...+1/((4n-1)·(4n+3)).