Q3 of 176 Page 9

Write the next three terms of the following sequences:

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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