SOLUTION: 4. On October 1, a gardener plants 20 bulbs. On October 2, she plants 23 bulbs. On October 3, she plants 26 bulbs. She continues in this pattern until October 15, on which she pl

Question 195095: 4. On October 1, a gardener plants 20 bulbs. On October 2, she plants 23
bulbs. On October 3, she plants 26 bulbs. She continues in this pattern
until October 15, on which she plants the last bulbs.
a. Write an explicit formula to model the number of bulbs she plants
each day.
b. Write a recursive formula to model the number of bulbs she plants
each day.
c. How many bulbs will the gardener plant on October 15?
d. What is the total number of bulbs she plants from October 1 to
October 15, inclusive?
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
a(n) =a(1) + (n-1) d,,,,where a(n) = nth entry,,n=no entries,,d = difference between entries
.
a(15) = 20 + (15-1) 3 = 20 + 42 = 62
.
recursive, a(n) = a (n-1) +d
.
sum = n(a(1) +a(n) ) /2= 15 *( 20 +62)/2 = 615
.
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