Find a formula for the nth partial sum of the series and use it to find the series' sum if the series converges. StartFraction 13 Over 2 times 3 EndFraction plus StartFraction 13 Over 3 times 4 EndFraction plus StartFraction 13 Over 4 times 5 EndFraction plus midline ellipsis plus StartFraction 13 Over (n plus 1 )(n plus 2 )EndFraction plus midline ellipsis

Joey is buying plants for his garden. he wants to have at least twice as many flowering plants as nonflowering plants and a minimum of 36 plants in his garden. flowering plants sell for $8, and nonflowering plants sell for $5. joey wants to purchase a combination of plants that minimizes cost. let x represent the number of flowering plants and y represent the number of nonflowering plants.