Question

How many terms are there in ap 6,10,14,18,.........174
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Answer 1

Step-by-step explanation:

there are 43 terms in the AP

Answer 2

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→How many terms are there in ap 6,10,14,18,.........174

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⇒Given:

• a = 6
• $a_n=174$

⇒To Find:

• n = ?

⇒Solution:

⇒$d=10-6 = 4$

Now:-

⇒$174=6+(n-1)\times 4$

⇒$168=(n-1)\times 4$

⇒$n-1=\frac{168}{4}$

⇒$n-1=42$

⇒$\huge{\pink{\overbrace{\underbrace{n=43}}}}$

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Formulas Used :-

• $a_n=a+(n-1)d$

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