Question

the general term of 3/1,4/8,5/27​

Answer 1

Answer:

(3) Each number in the sequence is called a term. In the sequence 1, 3, 5, 7, 9, …, 1 is the first term, 3 is the second term, 5 is the third term, and so on. The notation a 1, a 2, a 3,… a n is used to denote the different terms in a sequence. The expression a n is referred to as the general or nth term of the sequence.

(8,5)Theth term is given as,an =8−5na 1 =8−5(1)=8−5=3a 2 =8−5(2)=8−10=−2a 3 =8−5(3)=8−15=−7a 2 −a 1 =−2−3=−5a3 −a 2 =−7−(−2)=−7+2=−5

Since the common difference is same, therefore, the sequence is in A.P.

(27)A=9,n=27d=4−9=−5

Putting the values in below formula

a 2 7=a+(n−1)da 2 7=9+(27−1)×−5

=9+(−130)

=9−130

=−121