Kurt says that if he starts with the number n, multiplies it by the next whole number and then adds 3 he will get 45. N(n+1)+3=45 what number makes kurts equation true?

6

Step-by-step explanation:

we start with:

n(n + 1) + 3 = 45

n² + 1n = 42

n² + 1n - 42 = 0

n can be either 6 or -7

(n - 6)(n + 7)

since we cannot have negative numbers, the answer should be 6, but we can verify which number fits our equation:

n = 7 ⇒ n(n + 1) + 3 = 45

7(7 + 1) + 3 = 59 WRONG

n = 6 ⇒ n(n + 1) + 3 = 45

6(6 + 1) + 3 = 45 ✓ CORRECT

= 5

step-by-step explanation:

to find the 15th term substitute n = 15 into the nth term formula

= (- 3 × 15 ) + 50 = - 45 + 50 = 5