How Many Terms Are There In Arithmeric Sequence With A Common Difference Of 4 And With First And Last Terms 3 And 59,Respectively?

how many terms are there in arithmeric sequence with a common difference of 4 and with first and last terms 3 and 59,respectively?

 

Answer:

There 15 terms from 3 to 59 arithmetic sequence.

Step-by-step explanation:

Arithmetic sequence general rule:

an = a₁ + (n-1)(d)

Where:

an = last term in a sequence  ⇒  59

a₁ = first term  ⇒  3

n = number of terms or nth sequence

d = common difference ⇒ 4

an = a₁ + (n-1)(d)

59 = 3 + (n-1)(4)

59-3 = 4n - 4

56 + 4 = 4n

4n/4 = 60/4

n = 15

There 15 terms from 3 to 59 arithmetic sequence.