Question

the 11th term of an arithmetic progression-3,-1,1,3​

Answer 1

$\huge \fcolorbox{green}{blue}{ \bf \red{11th \: = 17}}$

Step-by-step explanation:

GIVEN :-

• A.P. = -3, -1, 1, 3....

TO FIND :-

• 11th Term of A.P.

SOLUTION :-

Here,

$\bf \: a_{1} = - 3 \\ \bf a_{2} = - 1$

So,

Common Difference (d) = $\bf a_{2} - a_{1}$

=> - 1 - (-3)

=> - 1 + 3

=> 2

.

Now,

using the nth term formula, we will find the 11th term,

Formula,

$\bf a_{n} = a_{1} + (n - 1)d$

Here, nth term (a n) = 11, so 11th term -

$\\ = > \bf a_{11} = - 3 + (11 - 1)2 \\ \bf = - 3 + 10 \times 2 \\ \bf = - 3 + 20 \\ \bf = 17$

So,

the 11th term = 17.

Hope it helps.

Answer 2

Answer:

the answer is 17

Step-by-step explanation: