Question

the first term of an AP of 20 term is 2 and its last term is 59.find the 6th term from end.
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Answer 1

Answer:

sixth term = 2 + 5d

find d

59 = 2 + 19d

d= 3

so sixth term = 2+ 15

=17

Answer 2

Answer:

The sixth term from the end, which is to say the 15th term of the AP, is 44

Step-by-step explanation:

Given:

First term = a = 2

Number of terms = n = 20

Last term = $a_{20}$ = 59

We know that the nth term of AP with first term "a" and common difference "d" is given by:

$a_{n}$ = a + (n-1)*d

$a_{20}$ = 2 + (20-1)*d

59 = 2 + 19*d

d = 3

Now, the sixth term from the end, which is the 15th term, will be given by:

$a_{15}$ = a + (15 - 1)*d

                          = 2 + 14*3

                           = 2 + 42

                            = 44