Question

the 25th term of arithmetic is 140 and 27th term is 166 a)what is common difference of sequence. b)what is the 35th term.
C)find the first term

Answer 1

Answer:

   25th term of an Ap ⇢ 140

   26th term of that Ap ⇢ 166

25th term of an Ap ⇢ 140

a+24d = 140 is eqn 1

27th term of that Ap ⇢ 166

a+26d = 166 is eqn 2

subracting both eqn

2d = 26

d=13

put d in eqn 1

a+ 24[13]=140

a= 140-312

a=-172

.

35th term = a+34d=  -172 + 34[13] = -172+442= 270