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Question
Fill in the blank in the following table, given that a is the first term, d the common difference, and an nth term of the AP:
| a | d | n | an |
| ______ | -3 | 18 | -5 |
Fill in the Blanks
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Solution
| a | d | n | an |
| 46 | -3 | 18 | -5 |
Explanation:
Given that
d = -3, n = 18, an = -5
We know that,
an = a + (n - 1) d
-5 = a + (18 - 1) (-3)
-5 = a + (17) (-3)
-5 = a - 51
a = 51 - 5
a = 46
Hence, a = 46
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Chapter 5: Arithmetic Progressions - Exercise 5.2 [Page 105]
