hallo friends important formulas from Arithmatic Progression ,std 10
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nth term of an AP
tn = a + (n – 1)d
where tn = nth term, a= the first term , d= common difference, n = number of terms in the sequence.
Number of terms in an AP
n= [(l-a)/d] + 1
where n = number of terms, a= the first term, l = last term, d= common difference.
Sum of first n terms in an AP
Sn = n/2 [2a + (n − 1) d] OR n/2 (a+l)
where,
a = the first term,
d= common difference,
l = tn = nth term = a + (n-1)d
Arithmetic Mean
If a, b, c are in AP, then there Arithmetic mean is
b = 1/2 (a + c
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