A concrete structure has slabs, each being taller than the previous. The heights of
the slabs are 7 m, 12 m, 17 m, and so on for 11 more slabs. Based on the given
pattern, form an expression to find the height of the n" slab.
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Given : The heights of the slabs are 7 m, 12 m, 17 m, and so on
To Find : form an expression to find the height of the n slab
Solution:
The heights of the slabs are 7 m, 12 m, 17 m, and so on
a= 7
d = 12 - 7 = 5
17 - 12 = 5
Hence its an ap
a = 7
d = 5
aₙ = a + (n - 1)d
=> aₙ = 7 + (n - 1)5
=> aₙ = 7 + 5n - 5
=> aₙ = 5n + 2
height of n slab = 5n + 2
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