The first three terms of an infinite sequence are 2, 7, and 22. After the first term, each consecutive term can be obtained by multiplying the previous term by 3 and then adding 1. What is the sum of the tens digit and the units digit of the 22nd term in the sequence? Choose the correct choice from the following choices:
A) 4
B) 7
C) 6
D) 8
E) 9
Following the rule of Infinite sequence we obtain the terms of the sequence as mentioned below   02,07,22,67, 202, 607, 1822, 5467...   Observe the last two digits of the sequence which have the cyclicity of 4 and the last two digits repeat in the order {02, 07, 22, 67}   Also 22th Term =4*5 +2   i.e. 35th Terms will have same Last two digits as 2 nd term of the sequence = 07   i.e. Sum of lat two digits of 2ndth Term = 0+7= 
<gadget id="calculator">0+7</gadget>
<output>7</output>
7   7
<result>B</result>
The first three terms of an infinite sequence are 2, 7, and 22. After the first term, each consecutive term can be obtained by multiplying the previous term by 3 and then adding 1. What is the sum of the tens digit and the units digit of the 22nd term in the sequence?