Q. 3 A4.5( 4 Votes )

# Write the next three terms of the following sequences:

Answer :

Given: t2 = 2 and tn = tn-1 + 1

Now, we have to find next three terms i.e. t3, t4 and t5

Taking n = 3, we get

t3 = t3-1 + 1

= t2 + 1

= 2 + 1 [given: t2 = 2]

t3 = 3 …(i)

Taking n = 4, we get

t4 = t4-1 + 1

= t3 + 1

= 3 + 1 [from (i)]

t4 = 4 …(ii)

Taking n = 5, we get

t5 = t5-1 + 1

= t4 + 1

= 4 +1

t5 = 5 [from (ii)]

Hence, the next three terms are 3, 4 and 5.

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