Question

please guys fast answer​

Answer 1

Answer:

I don't know that question,s answer

Answer 2

Answer: nth term = p + q - n

Solution:

The formula for the nth term of an arithmetic expression

= (a + (n-1) d ………………………………………………………………………(1)

where a= first term, d = common difference.

Given the pth term of the A.P. is q. Using (1),

a + (p - 1)d = q …………………………………………………………………….(2)

Similarly p being the qth term,

a + (q - 1)d = p …………………………………………………………………….(3)

(2) - (3) →

(p - 1)d - (q - 1)d = q - p

Or, p.d - d - q.d + d = q- p

Or d(p - q) = q - p = -1(p-q)

Or, d .1 = -1.1 [Dividing both sides by (p-q)]

⇒ d = -1 …………………………………………………………………………(A)

Substituting for d = -1 in (2),

a + (p - 1)(-1) = q

Or, a -p + 1 = q

Transposing -p and +1 to right-side and changing their signs,

a = p + q - 1 ………………………………………………….…………………(B)

Substituting for a from (B) and d from (A) in (1),

nth term of the arithmetic expression

= (p+q-1) + (n-1) (-1) = p+q-1-n+1

=p + q - n (Answer)