Question

common difference of an arithemetic sequence is 7 and 11th term is 80 . which term of the sequence is 185?​

Answer 1

Answer:

26th term

Step-by-step explanation:

hope the pic helps...

Answer 2

Step-by-step explanation:

the 11 term is 80 and the common difference(d) is 7

therefore

a11 = a + 10d

80 = a + 10*7

80 = a + 70

80 - 70 = a

10 = a

therefore the first term is 10

now,

let 185 be the an term of the AP

an = a +( n-1 )d

185= 10+( n-1 )7

185- 10 = ( n-1 )7

175= ( n-1 )7

175/7= (n-1 )

25 = n-1

25+1 =n

26

therefore 185 is the 26th of following AP