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In an arithmetic sequence $$1, -2, -5, -8 $$ ....., then find the $$12^{th}$$ term.
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$$12^{th}$$ term of the A.P. is $$a_{12} = a + (n - 1) d$$
Given series is $$1,-2,-5,-8,....$$
Given series is $$1,-2,-5,-8,....$$
Here $$a = 1, d = - 3, a_{12} = ?$$
Therefore, $$a_{12} = 1 + (12- 1) (- 3)$$
$$\Rightarrow a_{12} = 1 + 11 \times (-3)$$
$$\Rightarrow a_{12} = 1 - 33$$
$$\Rightarrow a_{12} = - 32$$
Therefore, $$a_{12} = 1 + (12- 1) (- 3)$$
$$\Rightarrow a_{12} = 1 + 11 \times (-3)$$
$$\Rightarrow a_{12} = 1 - 33$$
$$\Rightarrow a_{12} = - 32$$
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| Question Text | In an arithmetic sequence $$1, -2, -5, -8 $$ ....., then find the $$12^{th}$$ term. |
| Answer Type | Text solution:1 |
| Upvotes | 150 |
