Question

If tₙ denotes nth term of an A.P, ‘a’ denotes first term of A.P and ‘d’ denotes common difference of A.P. then find ‘n’ if tₙ = 55; a = 3 and d = 1.3​

Answer 1

Answer:

n = 41

Step-by-step explanation:

a = 3 d = 1.3. tn = 55. n = ?

tn = a + (n-1)d

55 = 3 + (n - 1)(1.3)

55 - 3 = (n - 1)(1.3)

52 / 1.3 = n - 1

40 = n - 1

n = 40 + 1

n = 41

verification

a + (n - 1)d

= 3 + (41 - 1)(1.3)

= 3 + 40(1.3)

= 3 + 52

= 55

Hope you get your answer