Question

In the given sequence, find the number of terms: 5, 8, 11, 14, 17, ...50

Answer 1

Answer:

5

8

11

14

17

20

23

26

29

32

35

38

41

44

47

50

Answer 2

Given,

• The sequence 5, 8, 11, 14, 17,__, 50 is given.

To find,

• We have to find the number of terms in the given sequence.

Solution,

We can simply find the number of terms in the given sequence by using the following formula:

          an = a + (n-1)d     (*)

a = 5

d = 3

an = 50

Using (*), we get

     50 = 5 +(n-1)3

      50 = 5 +3n-3

      50 = 2 + 3n

   50-2 = 3n

       48 = 3n

    48/3 = n

       16  = n

Hence, in the given sequence, the number of terms in 5, 8, 11,14, 17,__, 50 are 16.