Reema being a plant lover decides theopera a nursory and she bought juw plants with pots. She wants to place pots in such o way that number of pots in lst row is 3 , in second ewow is 5 and in thiled row is if and so on.(i) How mary pots are there In 15th row?(ii) If there ore tolal 120 plants how many loows are there(iii) If there are 21 lows how many pots wiu be thewe in the middle.
Question
Reema being a plant lover decides theopera a nursory and she bought juw plants with pots. She wants to place pots in such o way that number of pots in lst row is 3 , in second ewow is 5 and in thiled row is if and so on.(i) How mary pots are there In 15th row?(ii) If there ore tolal 120 plants how many loows are there(iii) If there are 21 lows how many pots wiu be thewe in the middle.
Solution
The text seems to have some typographical errors, but I'll try to interpret it as best as I can.
(i) The number of pots in each row seems to be following an arithmetic progression where the first term (a) is 3 and the common difference (d) is 2. The nth term of an arithmetic progression can be found using the formula: a + (n-1)d. So, the number of pots in the 15th row would be: 3 + (15-1)*2 = 31 pots.
(ii) If the total number of plants is 120, we need to find the number of rows. The sum of an arithmetic progression can be found using the formula: n/2 * (2a + (n-1)d). Solving the equation 120 = n/2 * (2*3 + (n-1)*2) for n, we get n approximately equal to 11. So, there are 11 rows.
(iii) If there are 21 rows, the middle row would be the 11th row (since 21/2 rounds up to 11). Using the formula from part (i), the number of pots in the 11th row would be: 3 + (11-1)*2 = 23 pots.
Similar Questions
The gardening store sells clay flower pots, which hold 4 litres of dirt, and ceramic flower pots, which hold 3 litres. Cara bought 27 flower pots, which will hold a total of 94 litres of dirt. How many of each type of flower pot did she buy?
The agriculture class is selling flowers. They want to arrange them so that they are all in equal rows with no row containing different types of flowers. They have 48 pots of Marigolds, 24 pots of Pansies, and 36 pots of Primroses. What is the largest number of flowers they can put in each row?
Ms. Roth has to arrange her High School choir into rows. The first row has spots for 4 sopranos, and there are a total of 5 sopranos in the choir. How many ways can Ms. Roth arrange the sopranos in the first row?
Frances owns a landscaping business. She has 425 plants and is placing an equal number of plants into 47 yards. After planting, how many plants will she have left to take home and plant in her own yard? A. 0 plants B. 1 plant C. 2 plants D. 3 plants
Deepti wants to make a potion. 3 The potion requires of a cup of salt for each cup of rose water used. 7 If Deepti uses 15 cups of rose water, what is the total amount of salt (in cups) that she needs? 45 7 45 D 25 7 45
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.