which term of the arithmetic progression 3 10 17 will be 84 more than its 13th term
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common difference is equal to 10 - 3 which is equal to 7 and 13 term is equal to
Swagger7376:
it is wrong
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Answer:
24 the term of the A.P
Step-by-step explanation;
Given,
3, 10, 17,.........84+a13
Apply formula of A.P
an = a + (n-) d
where,
an is the nth term of the A.P
a = first term of the A.P = 3
d= Common Difference= 7
n= no. of term in the A.P
13th term,
a13 = 3+ (13-1)*7
a13 = 3+ 12*7
a13 = 3+84 = 87
13th term is 87.
Now, n= ?
84+ a13 = 3+(n-1)*7
171 = 3 + (n-1) *7
171-3 = (n-1)*7
168/7 = n-1
24 = n
Hence 24th term of the A.P will 84 more than 13th term.
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