SOLUTION: A gardener is making a planting in the shape of a trapezoid. It will have 35 plants in the front row, 31 in the second row, 27 in the third row and so on. If the pattern is consist

Question 363770: A gardener is making a planting in the shape of a trapezoid. It will have 35 plants in the front row, 31 in the second row, 27 in the third row and so on. If the pattern is consistent, how many plants will there be in the last row? How many plants are there altogether
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
The sequence is an arithmetic sequence with a1 = 35, d = -4. Then . We want an > 0. So 39 - 4n>0, or 39> 4n, or n = 9. So there are 9 rows. Then a9 = 39 - 4*9 = 39-36 = 3. Thus there are 3 plants in the last row. There plants all in all.
RELATED QUESTIONS
A gardener is making a triangular planting, with 46 plants in the front row, 41 in the... (answered by richwmiller)

A Gardener is making a trapezoidal planting, with 32 plants in the front row, 26 in the... (answered by Lapric,richwmiller)

A gardener makes a 10-row triangular planting with 40 plants in the front row,36 in the... (answered by josgarithmetic)

a 40 row theater has 10 seats in the front row. the second row has 11 seats. if each row... (answered by josmiceli)

Maria is planting a row of flowers in a bed 27 feet long. The instructions say to space... (answered by ikleyn,greenestamps)

A gardener has seven identical-looking tulip bulbs, of which each will produce a... (answered by Boreal,ikleyn)

A gardener has 27 tulip bulbs 45 tomato plants 108 rose bushes and 126 herb seedlings to... (answered by CubeyThePenguin)

A gardener is planting flowers in a circular bed. If he plants 1256 flowers which are... (answered by jim_thompson5910)

A man is setting out 180 plants in rows, each row having the same number of plants in it. (answered by ptaylor)