Respuesta :
the 6th term is 51 and the 15th term is 132.
How to find the 6th term and 15th term of the Ap?
given that
first term is (a1) 6.
Common difference( d ) is 9.
To find the next term by adding the previous term and the common difference.
Take the term a1,a2,a3,a4... like that
now to find the second term, add the first term and common difference.
a2 = a1 + d
a2 = 6 + 9
a2 = 15
now to find the third term, add the second term term and common difference.
a3 = a2 + d
a3 = 15 + 9
a3 = 24
now to find the fourth term, add the third term and common difference.
a4 = a3 + d
a4 = 24 + 9
a4 = 33
now to find the fifth term, add the fourth term and common difference.
a5 = a4 + d
a5 = 33 + 9
a5 = 42
now to find the sixth term, add the fifth term and common difference.
a6 = a5 + d
a6 = 42 + 9
a6 = 51
now to find the seventh term, add the sixth term and common difference.
a7 = a6 + d
a7 = 51 + 9
a7 = 60
now to find the eighth term, add the seventh term and common difference.
a8 = a7 + d
a8 = 60 + 9
a8 = 69
now to find the nineth term, add the eighth term and common difference.
a9 = a8 + d
a9 = 69 + 9
a9 = 78
now to find the tenth term, add the nineth term and common difference.
a10 = a9 + d
a10 = 78 + 9
a10 = 87
now to find the 11th term, add the 10th term and common difference.
a11 = a10 + d
a11 = 87 + 9
a11 = 96
now to find the 12th term, add the 11th term and common difference.
a12 = a11 + d
a12 = 96 + 9
a12 = 105
now to find the 13 th term, add the 12th term and common difference.
a13 = a12 + d
a13 = 105 + 9
a13 = 114
now to find the 14th term, add the 13th term and common difference.
a14 = a13 + d
a14 = 114 + 9
a14 = 123
now to find the 15 th term, add the 14thterm and common difference.
a15 = a14 + d
a15 = 123 + 9
a15 = 132
Hence, the 6th term is 51 and the 15th term is 132.
Learn more about Arithmetic progression, refer:
https://brainly.com/question/6561461
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