The 10 th term of an AP is 25 and its 25th term is 10.What is common difference
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Answer:
given arithmetic progression is 7,13,19,25,... Here the first term is 7 and the common difference is 6. Thus using the formula t
n
=a+(n−1)d to find the 10
th
and the 25
th
terms, we get,
t
10
=7+(10−1)6
t
10
=7+54
t
10
=61
t
25
=7+(25−1)6
t
25
=7+144
t
25
=151
Solving the equations 1 and 2, we get
t
10
=61andt
25
=151
Thus, the 10
th
and the 25
th
term of the arithmetic progression 7,13,19,25,... are 61 and 151 respectively.
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i thought its 1 .
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