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Question

$$10$$th term of the A.P. $$1, 4, 7, 10,....$$ is


Solution

AP $$1, 4, 7, 10$$
$$a=1$$
$$d=t_2-t_1$$
$$=t_3=t_2$$
$$=8-1$$
$$=7-4$$
$$=3$$
$$t_{10}=?$$
$$t_n=a+(n-1)d$$
$$t_{10}=a+(10-1)d$$
$$=1+(9\times 3)$$
$$=28$$.

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