Question

Find the 30th term and nth (general term of the A.P. 10,7,4,....

Answer 1

Answer:

a=10 , d = -3 a30 =?

Step-by-step explanation:

a30=a+29d

=10+29(-3)

= 10+(-83)

= -73

a30=-73

Answer 2

Answer:

aₙ =  13 - 3n

30th term = -77

Step-by-step explanation:

Given AP

10  , 7   , 4

First Term = a  = 10

Common Difference =  d = 7 - 10   = 4 - 7  = - 3

nth Term of an AP is given

aₙ = a + (n - 1)d

=> aₙ =  10 + (n - 1)(-3)

=>  aₙ =  10  -3n + 3

=> aₙ =  13 - 3n

a₃₀ = 13 - 3 * 30

=> a₃₀ =  13 - 90

=>  a₃₀ =  - 77

30th term = -77