Question

state the common difference for the given AP 3/2,1/2,-1/2,-3/2
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Answer 1

Given :

• AP :- 3/2, 1/2, -1/2, -3/2

To find :

• Common difference ( d)

Formula used :

• d = b-a

where :-

• d = Common difference
• b = second term
• a = first term

Solution :

In the given AP :- 3/2, 1/2, -1/2, -3/2

a = 3/2

b = 1/2

Now to find common difference put a = 3/2 and b = 1/2 in the formula : d = b-a

⟹ d = b-a

⟹ d = 1/2 - (3/2)

⟹ d = 1/2 -3/2

LCM = 2

⟹ d = (1-3)/2

⟹ d = -2/2

⟹ d = -1

Answer :

• Common difference ( d) = - 1

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Learn more:

1. Tn = a+(n-1)d

2. Sn = n/2[2a+(n-1)d]

3. Sn = n/2(a+l)

where :

• a = first term
• n = number of terms
• d = common difference
• Tn = nth term
• l = last term

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