Consider the A.S 171,167,163......Is 0 a term of this sequence.how many positive terms are in this sequence?
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given: AP 171, 167, 163 ...
to find number of positive terms 'n'
Step-by-step explanation:
a= 171, d = 167 - 171 = - 4,
a + (n - 1) d > 0
=> 171 + (n - 1) (-4) > 0
=> 171 + [ -4n + 4 > 0
=> 171 - 4n + 4 > 0
=> 175 - 4n > 0
=> 175 > 4n
or 4n < 175
=> n < 175/4
=> n < 43 ³/₄
=> n = 43 [ n has to be a whole number]
there are 43 positive terms in the given AP
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