Question

Nth term of an arithmetic sequence is m term is n find the common difference

Answer 1

Answer:

-1

Step-by-step explanation:

Let,

a = first term o sequence

d = common difference

nth term = a + (m-1) d      ........(1)

mth term = a + (n-1) d      .........(2)

Subtract equation 2 from 1 then,

[a + (m-1) d] - [a + (n-1) d] = n-m

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

(m-1) d - (n-1) d =n-m

(m-n) d = n-m

d = -1

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