. A clock strikes once when its hour hand is at 1, twice when it is at 2 and so on. How many times does the clock strike in six hours? In progression
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the information is incomplete there may be 2 cases
strikes form AP
1,2,3.....6
here first term = a = 1
and common difference = d = 1
so nth term is
a + (n-1)d
6
case 2.....
if it forms GP
1,2,4,8....32
here first term = a = 1
and common ratio = r = 2
and no. of terms = 6
nth term is
a(r)^(n-1)
32 time
strikes form AP
1,2,3.....6
here first term = a = 1
and common difference = d = 1
so nth term is
a + (n-1)d
6
case 2.....
if it forms GP
1,2,4,8....32
here first term = a = 1
and common ratio = r = 2
and no. of terms = 6
nth term is
a(r)^(n-1)
32 time
rosmiyatisyamsul:
B. Write down the sum of the first n terms, Sn and the sum of infinity ,for the GP. Hence determine the smallest integer value of n such that S infinity - Sn<0.0000001
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