Question

find the value of t7 +t9 for the A.P
7, 13, 19,25 ..​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Solution :-

Given ,

• AP :- 7 , 13 , 19 , 25 ....

We need to find ,

• t₇ + t₉

Firstly , finding common difference using ,

d = t₂ - t₁

Here ,

• t₁ = 13
• t₂ = 7

→ d = 13 -7

→ common difference ( d ) = 6

So , now finding t₇ & t₉

Using ,

tn = a + ( n - 1 ) d

Here , first term ( a ) is 7

Similarly ,

• t₇ = 7 + ( 7 - 1 ) ( 6 ) = 7 + 6(6) = 43

• t₉ = 7 + ( 9 - 1 ) ( 6 ) = 7 + 8(6) = 55

Now , t₇ + t₉

⇒ t₇ + t₉ = 43 + 55

⇒ t₇ + t₉ = 98

Hence , t₇ + t₉ = 98