Question

How many multiples of 7 are there between 33 and 329

Answer 1

Answer:

35+(n-1)7 is equal to 329...

35+7n-7

28+7n is equal to 329

301/7 is equal to n

n is your answer

Answer 2

answers:

the number of multiples of 7 'between' 33 and 329 are 42

explanation:

the numbers between 33 and 329 that are the multiples of 7 are :

35,42,......322

this is an AP since a2-a1 = a3-a2 = d

here, we have (usual terms applied)

a = 35

d = 7

an= 322

now the last term of the ap , an is given by

an = a + (n-1) d

I. e 322 = 35 + (n-1) 7

287 = (n-1) 7

n-1 = 287÷7 = 41

n = 42

answer