Write a rule for the nth term of the arithmetic sequence and then find a_10 for d=5, a_5=33

c0nman56

c0nman56

Answered question

2022-10-31

Write a rule for the nth term of the arithmetic sequence and then find a 10 for d = 5 , a 5 = 33

Answer & Explanation

Dana Simmons

Dana Simmons

Beginner2022-11-01Added 14 answers

The general form of n t h term of an AP is given as:-
a n = a 1 + ( n - 1 ) d
In this case, d=5
a n = a 1 + 5 ( n - 1 )
a 5 = a 1 + 5 ( 5 - 1 ) = a 1 + 5 4 = a 1 + 20
But, a 5 = 33
33 = a 1 + 20
a 1 = 33 - 20 = 13
Hence a n = 13 + 5 ( n - 1 )
a 10 = 13 + 5 ( 10 - 1 ) = 13 + 5 9 = 13 + 45 = 58

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