2008
Mathematics
67ca00ce0c643c71d77dee1f
The fifth term of an A.P is 24 and the eleventh term is 96. Find the first term.
A.
12
B.
4
C.
-12
D.
-24
Correct Answer: -24
Explanation
U5 = 24, n = 5 and U11 = 96, n = 11 Un = a + (n-1)d 24 = a + (5-1)d imply 24 = a+4d .....eqn1 96 = a + (11-1)d imply 96 = a+10d ...eqn2 eqn1 - eqn2 -72 = -6d d = 72/6 = 12 but 24 = a+4d 24 = a + 4(12) 24 = a + 48 a = 24-48 a = -24
U5 = 24, n = 5 and U11 = 96, n = 11 Un = a + (n-1)d 24 = a + (5-1)d imply 24 = a+4d .....eqn1 96 = a + (11-1)d imply 96 = a+10d ...eqn2 eqn1 - eqn2 -72 = -6d d = 72/6 = 12 but 24 = a+4d 24 = a + 4(12) 24 = a + 48 a = 24-48 a = -24THIS WEEK's
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