The formula for the nth term of an arithmetic sequence is given by:
a_n = a_1 + (n - 1)d
where:
a_n = the nth term
a_1 = the first term
n = the term number
d = the common difference between terms
In this case, the first term (a_1) is 5 and the common difference (d) is 7 (12 - 5).
We can now substitute these values into the formula to find the 44th term:
a_44 = 5 + (44 - 1) * 7
a_44 = 5 + (43) * 7
a_44 = 5 + 301
a_44 = 306
Therefore, the 44th term in the sequence is 306.
Finding the formula for an arithmetic sequence allows to find any number in the pattern by substituting it.
find the 44th term in this sequence
5,12,19,26....
1 answer