Question

If the nth term of a progression.is(4b-10) , show that it is an AP. Find its (1) first term (2) common difference (3) 16 th term

Answer 1

The given term can be written as: (-6)+(n-1)4 → general term of Arithmetic Progression.
1. -6
2. 4
3. 54

Answer 2

Put b=1,2,3... We get first term (4-10)= -6 Second tem (4*2-10) = -2 , third term = ( 4*3-10)= 2 this shows that terms are in AP with a common difference of 4 , 16th term = 4*16-10= 54