Q1 of 178 Page 526

Show that each of the progressions given below is an AP. Find the first term, common difference and next term of each.
9, 15, 21, 27, ...

Here, T₂ - T₁ = 15 - 9 = 6

T₃ - T₂ = 21 - 15 = 6

T₄ - T₃ = 27 - 21 = 6

Since the difference between each consecutive term is same, ∴ the progression is an AP.

So, first term = 9

Common difference = 15 - 9 = 6

Next term = T₅ = T₄ + d = 27 + 6 = 33

Show that each of the progressions given below is an AP. Find the first term, common difference and next term of each.

11, 6, 1, - 4, ...

Show that each of the progressions given below is an AP. Find the first term, common difference and next term of each.

√2, √8, √18, √32,…

Show that each of the progressions given below is an AP. Find the first term, common difference and next term of each.

√20, √45, √80, √125,…

Show that each of the progressions given below is an AP. Find the first term, common difference and next term of each.9, 15, 21, 27, ...